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Finding the Fourth Proportional to 11,565.86, 15,960.89 and 6,260.66

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Solution

The fourth proportional to 11,565.86, 15,960.89 and 6,260.66 is: 8,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.86 : 15,960.89 = 6,260.66 : x
  2. Step 2: Convert to fraction form
    11,565.86/15,960.89 = 6,260.66/x
  3. Step 3: Cross multiply
    11,565.86x = 15,960.89 × 6,260.66
  4. Step 4: Simplify right side
    11,565.86x = 99,925,594.48
  5. Step 5: Solve for x
    x = 99,925,594.48/11,565.86
  6. Step 6: Final answer
    x = 8,639.71

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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.