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Finding the Fourth Proportional to 10,407.13, 14,361.83 and 5,691.44

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Solution

The fourth proportional to 10,407.13, 14,361.83 and 5,691.44 is: 7,854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.13 : 14,361.83 = 5,691.44 : x
  2. Step 2: Convert to fraction form
    10,407.13/14,361.83 = 5,691.44/x
  3. Step 3: Cross multiply
    10,407.13x = 14,361.83 × 5,691.44
  4. Step 4: Simplify right side
    10,407.13x = 81,739,493.74
  5. Step 5: Solve for x
    x = 81,739,493.74/10,407.13
  6. Step 6: Final answer
    x = 7,854.18

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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.