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Finding the Fourth Proportional to 10,400.10, 15,614.55 and 8,211.30

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Solution

The fourth proportional to 10,400.10, 15,614.55 and 8,211.30 is: 12,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.10 : 15,614.55 = 8,211.30 : x
  2. Step 2: Convert to fraction form
    10,400.10/15,614.55 = 8,211.30/x
  3. Step 3: Cross multiply
    10,400.10x = 15,614.55 × 8,211.30
  4. Step 4: Simplify right side
    10,400.10x = 128,215,754.42
  5. Step 5: Solve for x
    x = 128,215,754.42/10,400.10
  6. Step 6: Final answer
    x = 12,328.32

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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.