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Finding the Fourth Proportional to 10,125.92, 13,969.20 and 5,932.40

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Solution

The fourth proportional to 10,125.92, 13,969.20 and 5,932.40 is: 8,184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.92 : 13,969.20 = 5,932.40 : x
  2. Step 2: Convert to fraction form
    10,125.92/13,969.20 = 5,932.40/x
  3. Step 3: Cross multiply
    10,125.92x = 13,969.20 × 5,932.40
  4. Step 4: Simplify right side
    10,125.92x = 82,870,882.08
  5. Step 5: Solve for x
    x = 82,870,882.08/10,125.92
  6. Step 6: Final answer
    x = 8,184.03

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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.