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Finding the Fourth Proportional to 10,474.35, 15,711.72 and 8,384.66

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Solution

The fourth proportional to 10,474.35, 15,711.72 and 8,384.66 is: 12,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.35 : 15,711.72 = 8,384.66 : x
  2. Step 2: Convert to fraction form
    10,474.35/15,711.72 = 8,384.66/x
  3. Step 3: Cross multiply
    10,474.35x = 15,711.72 × 8,384.66
  4. Step 4: Simplify right side
    10,474.35x = 131,737,351.66
  5. Step 5: Solve for x
    x = 131,737,351.66/10,474.35
  6. Step 6: Final answer
    x = 12,577.14

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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.