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Finding the Fourth Proportional to 10,974.80, 15,158.28 and 8,744.24

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Solution

The fourth proportional to 10,974.80, 15,158.28 and 8,744.24 is: 12,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.80 : 15,158.28 = 8,744.24 : x
  2. Step 2: Convert to fraction form
    10,974.80/15,158.28 = 8,744.24/x
  3. Step 3: Cross multiply
    10,974.80x = 15,158.28 × 8,744.24
  4. Step 4: Simplify right side
    10,974.80x = 132,547,638.31
  5. Step 5: Solve for x
    x = 132,547,638.31/10,974.80
  6. Step 6: Final answer
    x = 12,077.45

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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.