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Finding the Fourth Proportional to 8,736.74, 12,056.31 and 4,757.61

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Solution

The fourth proportional to 8,736.74, 12,056.31 and 4,757.61 is: 6,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736.74 : 12,056.31 = 4,757.61 : x
  2. Step 2: Convert to fraction form
    8,736.74/12,056.31 = 4,757.61/x
  3. Step 3: Cross multiply
    8,736.74x = 12,056.31 × 4,757.61
  4. Step 4: Simplify right side
    8,736.74x = 57,359,221.02
  5. Step 5: Solve for x
    x = 57,359,221.02/8,736.74
  6. Step 6: Final answer
    x = 6,565.29

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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.