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Finding the Fourth Proportional to 7,844.83, 10,835.62 and 5,864.38

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Solution

The fourth proportional to 7,844.83, 10,835.62 and 5,864.38 is: 8,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.83 : 10,835.62 = 5,864.38 : x
  2. Step 2: Convert to fraction form
    7,844.83/10,835.62 = 5,864.38/x
  3. Step 3: Cross multiply
    7,844.83x = 10,835.62 × 5,864.38
  4. Step 4: Simplify right side
    7,844.83x = 63,544,151.47
  5. Step 5: Solve for x
    x = 63,544,151.47/7,844.83
  6. Step 6: Final answer
    x = 8,100.13

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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.