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Finding the Fourth Proportional to 10,982.90, 15,156.41 and 5,947.16

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Solution

The fourth proportional to 10,982.90, 15,156.41 and 5,947.16 is: 8,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.90 : 15,156.41 = 5,947.16 : x
  2. Step 2: Convert to fraction form
    10,982.90/15,156.41 = 5,947.16/x
  3. Step 3: Cross multiply
    10,982.90x = 15,156.41 × 5,947.16
  4. Step 4: Simplify right side
    10,982.90x = 90,137,595.30
  5. Step 5: Solve for x
    x = 90,137,595.30/10,982.90
  6. Step 6: Final answer
    x = 8,207.09

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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.