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Finding the Fourth Proportional to 8,736.68, 12,056.21 and 4,757.78

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Solution

The fourth proportional to 8,736.68, 12,056.21 and 4,757.78 is: 6,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736.68 : 12,056.21 = 4,757.78 : x
  2. Step 2: Convert to fraction form
    8,736.68/12,056.21 = 4,757.78/x
  3. Step 3: Cross multiply
    8,736.68x = 12,056.21 × 4,757.78
  4. Step 4: Simplify right side
    8,736.68x = 57,360,710.74
  5. Step 5: Solve for x
    x = 57,360,710.74/8,736.68
  6. Step 6: Final answer
    x = 6,565.51

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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.