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Finding the Fourth Proportional to 10,287.97, 15,437.57 and 4,363.94

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Solution

The fourth proportional to 10,287.97, 15,437.57 and 4,363.94 is: 6,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.97 : 15,437.57 = 4,363.94 : x
  2. Step 2: Convert to fraction form
    10,287.97/15,437.57 = 4,363.94/x
  3. Step 3: Cross multiply
    10,287.97x = 15,437.57 × 4,363.94
  4. Step 4: Simplify right side
    10,287.97x = 67,368,640.14
  5. Step 5: Solve for x
    x = 67,368,640.14/10,287.97
  6. Step 6: Final answer
    x = 6,548.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.