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Finding the Fourth Proportional to 10,117.74, 13,957.52 and 6,761.39

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Solution

The fourth proportional to 10,117.74, 13,957.52 and 6,761.39 is: 9,327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.74 : 13,957.52 = 6,761.39 : x
  2. Step 2: Convert to fraction form
    10,117.74/13,957.52 = 6,761.39/x
  3. Step 3: Cross multiply
    10,117.74x = 13,957.52 × 6,761.39
  4. Step 4: Simplify right side
    10,117.74x = 94,372,132.56
  5. Step 5: Solve for x
    x = 94,372,132.56/10,117.74
  6. Step 6: Final answer
    x = 9,327.39

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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.