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Finding the Fourth Proportional to 10,399.50, 14,351.04 and 6,150.78

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Solution

The fourth proportional to 10,399.50, 14,351.04 and 6,150.78 is: 8,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399.50 : 14,351.04 = 6,150.78 : x
  2. Step 2: Convert to fraction form
    10,399.50/14,351.04 = 6,150.78/x
  3. Step 3: Cross multiply
    10,399.50x = 14,351.04 × 6,150.78
  4. Step 4: Simplify right side
    10,399.50x = 88,270,089.81
  5. Step 5: Solve for x
    x = 88,270,089.81/10,399.50
  6. Step 6: Final answer
    x = 8,487.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.