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Finding the Fourth Proportional to 7,815.97, 10,785.62 and 4,278.50

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Solution

The fourth proportional to 7,815.97, 10,785.62 and 4,278.50 is: 5,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.97 : 10,785.62 = 4,278.50 : x
  2. Step 2: Convert to fraction form
    7,815.97/10,785.62 = 4,278.50/x
  3. Step 3: Cross multiply
    7,815.97x = 10,785.62 × 4,278.50
  4. Step 4: Simplify right side
    7,815.97x = 46,146,272.38
  5. Step 5: Solve for x
    x = 46,146,272.38/7,815.97
  6. Step 6: Final answer
    x = 5,904.10

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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.