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Finding the Fourth Proportional to 10,407.15, 14,361.75 and 5,691.38

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Solution

The fourth proportional to 10,407.15, 14,361.75 and 5,691.38 is: 7,854.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.15 : 14,361.75 = 5,691.38 : x
  2. Step 2: Convert to fraction form
    10,407.15/14,361.75 = 5,691.38/x
  3. Step 3: Cross multiply
    10,407.15x = 14,361.75 × 5,691.38
  4. Step 4: Simplify right side
    10,407.15x = 81,738,104.91
  5. Step 5: Solve for x
    x = 81,738,104.91/10,407.15
  6. Step 6: Final answer
    x = 7,854.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.