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Finding the Fourth Proportional to 11,565.75, 15,960.74 and 6,260.61

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Solution

The fourth proportional to 11,565.75, 15,960.74 and 6,260.61 is: 8,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.75 : 15,960.74 = 6,260.61 : x
  2. Step 2: Convert to fraction form
    11,565.75/15,960.74 = 6,260.61/x
  3. Step 3: Cross multiply
    11,565.75x = 15,960.74 × 6,260.61
  4. Step 4: Simplify right side
    11,565.75x = 99,923,937.15
  5. Step 5: Solve for x
    x = 99,923,937.15/11,565.75
  6. Step 6: Final answer
    x = 8,639.64

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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.