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Finding the Fourth Proportional to 7,843,854.61, 10,825,697.69 and 4,789,830.61

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Solution

The fourth proportional to 7,843,854.61, 10,825,697.69 and 4,789,830.61 is: 6,610,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843,854.61 : 10,825,697.69 = 4,789,830.61 : x
  2. Step 2: Convert to fraction form
    7,843,854.61/10,825,697.69 = 4,789,830.61/x
  3. Step 3: Cross multiply
    7,843,854.61x = 10,825,697.69 × 4,789,830.61
  4. Step 4: Simplify right side
    7,843,854.61x = 51,853,258,146,219.14
  5. Step 5: Solve for x
    x = 51,853,258,146,219.14/7,843,854.61
  6. Step 6: Final answer
    x = 6,610,685.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.