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Finding the Fourth Proportional to 10,951.76, 16,428.52 and 4,374.34

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Solution

The fourth proportional to 10,951.76, 16,428.52 and 4,374.34 is: 6,561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.76 : 16,428.52 = 4,374.34 : x
  2. Step 2: Convert to fraction form
    10,951.76/16,428.52 = 4,374.34/x
  3. Step 3: Cross multiply
    10,951.76x = 16,428.52 × 4,374.34
  4. Step 4: Simplify right side
    10,951.76x = 71,863,839.10
  5. Step 5: Solve for x
    x = 71,863,839.10/10,951.76
  6. Step 6: Final answer
    x = 6,561.85

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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.