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Finding the Fourth Proportional to 10,337.30, 15,462.18 and 7,013.06

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Solution

The fourth proportional to 10,337.30, 15,462.18 and 7,013.06 is: 10,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.30 : 15,462.18 = 7,013.06 : x
  2. Step 2: Convert to fraction form
    10,337.30/15,462.18 = 7,013.06/x
  3. Step 3: Cross multiply
    10,337.30x = 15,462.18 × 7,013.06
  4. Step 4: Simplify right side
    10,337.30x = 108,437,196.07
  5. Step 5: Solve for x
    x = 108,437,196.07/10,337.30
  6. Step 6: Final answer
    x = 10,489.90

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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.