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Finding the Fourth Proportional to 10,158.68, 15,227.94 and 5,767.04

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Solution

The fourth proportional to 10,158.68, 15,227.94 and 5,767.04 is: 8,644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.68 : 15,227.94 = 5,767.04 : x
  2. Step 2: Convert to fraction form
    10,158.68/15,227.94 = 5,767.04/x
  3. Step 3: Cross multiply
    10,158.68x = 15,227.94 × 5,767.04
  4. Step 4: Simplify right side
    10,158.68x = 87,820,139.10
  5. Step 5: Solve for x
    x = 87,820,139.10/10,158.68
  6. Step 6: Final answer
    x = 8,644.84

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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.