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Finding the Fourth Proportional to 10,197.39, 15,294.26 and 6,488.61

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Solution

The fourth proportional to 10,197.39, 15,294.26 and 6,488.61 is: 9,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.39 : 15,294.26 = 6,488.61 : x
  2. Step 2: Convert to fraction form
    10,197.39/15,294.26 = 6,488.61/x
  3. Step 3: Cross multiply
    10,197.39x = 15,294.26 × 6,488.61
  4. Step 4: Simplify right side
    10,197.39x = 99,238,428.13
  5. Step 5: Solve for x
    x = 99,238,428.13/10,197.39
  6. Step 6: Final answer
    x = 9,731.75

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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.