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Finding the Fourth Proportional to 10,982.96, 15,156.52 and 5,947.20

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Solution

The fourth proportional to 10,982.96, 15,156.52 and 5,947.20 is: 8,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.96 : 15,156.52 = 5,947.20 : x
  2. Step 2: Convert to fraction form
    10,982.96/15,156.52 = 5,947.20/x
  3. Step 3: Cross multiply
    10,982.96x = 15,156.52 × 5,947.20
  4. Step 4: Simplify right side
    10,982.96x = 90,138,855.74
  5. Step 5: Solve for x
    x = 90,138,855.74/10,982.96
  6. Step 6: Final answer
    x = 8,207.16

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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.