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Finding the Fourth Proportional to 10,407.23, 14,361.98 and 5,691.52

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Solution

The fourth proportional to 10,407.23, 14,361.98 and 5,691.52 is: 7,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.23 : 14,361.98 = 5,691.52 : x
  2. Step 2: Convert to fraction form
    10,407.23/14,361.98 = 5,691.52/x
  3. Step 3: Cross multiply
    10,407.23x = 14,361.98 × 5,691.52
  4. Step 4: Simplify right side
    10,407.23x = 81,741,453.14
  5. Step 5: Solve for x
    x = 81,741,453.14/10,407.23
  6. Step 6: Final answer
    x = 7,854.29

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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.