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Finding the Fourth Proportional to 11,366.92, 15,685.86 and 8,217.64

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Solution

The fourth proportional to 11,366.92, 15,685.86 and 8,217.64 is: 11,339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,366.92 : 15,685.86 = 8,217.64 : x
  2. Step 2: Convert to fraction form
    11,366.92/15,685.86 = 8,217.64/x
  3. Step 3: Cross multiply
    11,366.92x = 15,685.86 × 8,217.64
  4. Step 4: Simplify right side
    11,366.92x = 128,900,750.57
  5. Step 5: Solve for x
    x = 128,900,750.57/11,366.92
  6. Step 6: Final answer
    x = 11,339.99

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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.