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Finding the Fourth Proportional to 10,125.32, 15,195.74 and 6,614.37

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Solution

The fourth proportional to 10,125.32, 15,195.74 and 6,614.37 is: 9,926.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.32 : 15,195.74 = 6,614.37 : x
  2. Step 2: Convert to fraction form
    10,125.32/15,195.74 = 6,614.37/x
  3. Step 3: Cross multiply
    10,125.32x = 15,195.74 × 6,614.37
  4. Step 4: Simplify right side
    10,125.32x = 100,510,213.71
  5. Step 5: Solve for x
    x = 100,510,213.71/10,125.32
  6. Step 6: Final answer
    x = 9,926.63

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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.