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Finding the Fourth Proportional to 7,473.97, 10,314.66 and 4,117.42

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Solution

The fourth proportional to 7,473.97, 10,314.66 and 4,117.42 is: 5,682.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473.97 : 10,314.66 = 4,117.42 : x
  2. Step 2: Convert to fraction form
    7,473.97/10,314.66 = 4,117.42/x
  3. Step 3: Cross multiply
    7,473.97x = 10,314.66 × 4,117.42
  4. Step 4: Simplify right side
    7,473.97x = 42,469,787.38
  5. Step 5: Solve for x
    x = 42,469,787.38/7,473.97
  6. Step 6: Final answer
    x = 5,682.36

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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.