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Finding the Fourth Proportional to 10,982.93, 15,156.46 and 5,947.21

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Solution

The fourth proportional to 10,982.93, 15,156.46 and 5,947.21 is: 8,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.93 : 15,156.46 = 5,947.21 : x
  2. Step 2: Convert to fraction form
    10,982.93/15,156.46 = 5,947.21/x
  3. Step 3: Cross multiply
    10,982.93x = 15,156.46 × 5,947.21
  4. Step 4: Simplify right side
    10,982.93x = 90,138,650.48
  5. Step 5: Solve for x
    x = 90,138,650.48/10,982.93
  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.