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Finding the Fourth Proportional to 7,374, 10,175.76 and 4,016.73

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Solution

The fourth proportional to 7,374, 10,175.76 and 4,016.73 is: 5,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374 : 10,175.76 = 4,016.73 : x
  2. Step 2: Convert to fraction form
    7,374/10,175.76 = 4,016.73/x
  3. Step 3: Cross multiply
    7,374x = 10,175.76 × 4,016.73
  4. Step 4: Simplify right side
    7,374x = 40,873,280.46
  5. Step 5: Solve for x
    x = 40,873,280.46/7,374
  6. Step 6: Final answer
    x = 5,542.89

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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.