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Finding the Fourth Proportional to 10,215.68, 15,314.26 and 7,097.14

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Solution

The fourth proportional to 10,215.68, 15,314.26 and 7,097.14 is: 10,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.68 : 15,314.26 = 7,097.14 : x
  2. Step 2: Convert to fraction form
    10,215.68/15,314.26 = 7,097.14/x
  3. Step 3: Cross multiply
    10,215.68x = 15,314.26 × 7,097.14
  4. Step 4: Simplify right side
    10,215.68x = 108,687,391.19
  5. Step 5: Solve for x
    x = 108,687,391.19/10,215.68
  6. Step 6: Final answer
    x = 10,639.28

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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.