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Finding the Fourth Proportional to 10,410.30, 14,359.14 and 6,375.24

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Solution

The fourth proportional to 10,410.30, 14,359.14 and 6,375.24 is: 8,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.30 : 14,359.14 = 6,375.24 : x
  2. Step 2: Convert to fraction form
    10,410.30/14,359.14 = 6,375.24/x
  3. Step 3: Cross multiply
    10,410.30x = 14,359.14 × 6,375.24
  4. Step 4: Simplify right side
    10,410.30x = 91,542,963.69
  5. Step 5: Solve for x
    x = 91,542,963.69/10,410.30
  6. Step 6: Final answer
    x = 8,793.50

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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.