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Finding the Fourth Proportional to 11,487.69, 15,853.95 and 6,452.24

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Solution

The fourth proportional to 11,487.69, 15,853.95 and 6,452.24 is: 8,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.69 : 15,853.95 = 6,452.24 : x
  2. Step 2: Convert to fraction form
    11,487.69/15,853.95 = 6,452.24/x
  3. Step 3: Cross multiply
    11,487.69x = 15,853.95 × 6,452.24
  4. Step 4: Simplify right side
    11,487.69x = 102,293,411.08
  5. Step 5: Solve for x
    x = 102,293,411.08/11,487.69
  6. Step 6: Final answer
    x = 8,904.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.