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Finding the Fourth Proportional to 7,564.17, 10,431.23 and 5,046.38

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Solution

The fourth proportional to 7,564.17, 10,431.23 and 5,046.38 is: 6,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.17 : 10,431.23 = 5,046.38 : x
  2. Step 2: Convert to fraction form
    7,564.17/10,431.23 = 5,046.38/x
  3. Step 3: Cross multiply
    7,564.17x = 10,431.23 × 5,046.38
  4. Step 4: Simplify right side
    7,564.17x = 52,639,951.29
  5. Step 5: Solve for x
    x = 52,639,951.29/7,564.17
  6. Step 6: Final answer
    x = 6,959.12

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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.