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Finding the Fourth Proportional to 11,473.92, 17,207.28 and 3,681

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Solution

The fourth proportional to 11,473.92, 17,207.28 and 3,681 is: 5,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.92 : 17,207.28 = 3,681 : x
  2. Step 2: Convert to fraction form
    11,473.92/17,207.28 = 3,681/x
  3. Step 3: Cross multiply
    11,473.92x = 17,207.28 × 3,681
  4. Step 4: Simplify right side
    11,473.92x = 63,339,997.68
  5. Step 5: Solve for x
    x = 63,339,997.68/11,473.92
  6. Step 6: Final answer
    x = 5,520.35

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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.