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Finding the Fourth Proportional to 10,337.98, 15,508 and 3,316.24

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Solution

The fourth proportional to 10,337.98, 15,508 and 3,316.24 is: 4,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.98 : 15,508 = 3,316.24 : x
  2. Step 2: Convert to fraction form
    10,337.98/15,508 = 3,316.24/x
  3. Step 3: Cross multiply
    10,337.98x = 15,508 × 3,316.24
  4. Step 4: Simplify right side
    10,337.98x = 51,428,249.92
  5. Step 5: Solve for x
    x = 51,428,249.92/10,337.98
  6. Step 6: Final answer
    x = 4,974.69

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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.