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Finding the Fourth Proportional to 8,432.76, 12,642.66 and 4,047.78

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Solution

The fourth proportional to 8,432.76, 12,642.66 and 4,047.78 is: 6,068.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.76 : 12,642.66 = 4,047.78 : x
  2. Step 2: Convert to fraction form
    8,432.76/12,642.66 = 4,047.78/x
  3. Step 3: Cross multiply
    8,432.76x = 12,642.66 × 4,047.78
  4. Step 4: Simplify right side
    8,432.76x = 51,174,706.29
  5. Step 5: Solve for x
    x = 51,174,706.29/8,432.76
  6. Step 6: Final answer
    x = 6,068.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.