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Finding the Fourth Proportional to 8,742.48, 13,114.24 and 2,899.12

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Solution

The fourth proportional to 8,742.48, 13,114.24 and 2,899.12 is: 4,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.48 : 13,114.24 = 2,899.12 : x
  2. Step 2: Convert to fraction form
    8,742.48/13,114.24 = 2,899.12/x
  3. Step 3: Cross multiply
    8,742.48x = 13,114.24 × 2,899.12
  4. Step 4: Simplify right side
    8,742.48x = 38,019,755.47
  5. Step 5: Solve for x
    x = 38,019,755.47/8,742.48
  6. Step 6: Final answer
    x = 4,348.85

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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.