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Finding the Fourth Proportional to 11,565.52, 15,943.44 and 8,336.32

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Solution

The fourth proportional to 11,565.52, 15,943.44 and 8,336.32 is: 11,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.52 : 15,943.44 = 8,336.32 : x
  2. Step 2: Convert to fraction form
    11,565.52/15,943.44 = 8,336.32/x
  3. Step 3: Cross multiply
    11,565.52x = 15,943.44 × 8,336.32
  4. Step 4: Simplify right side
    11,565.52x = 132,909,617.74
  5. Step 5: Solve for x
    x = 132,909,617.74/11,565.52
  6. Step 6: Final answer
    x = 11,491.88

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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.