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Finding the Fourth Proportional to 10,366.80, 15,538.05 and 5,433.90

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Solution

The fourth proportional to 10,366.80, 15,538.05 and 5,433.90 is: 8,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.80 : 15,538.05 = 5,433.90 : x
  2. Step 2: Convert to fraction form
    10,366.80/15,538.05 = 5,433.90/x
  3. Step 3: Cross multiply
    10,366.80x = 15,538.05 × 5,433.90
  4. Step 4: Simplify right side
    10,366.80x = 84,432,209.90
  5. Step 5: Solve for x
    x = 84,432,209.90/10,366.80
  6. Step 6: Final answer
    x = 8,144.48

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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.