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Finding the Fourth Proportional to 7,393.98, 10,207.46 and 5,711.62

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Solution

The fourth proportional to 7,393.98, 10,207.46 and 5,711.62 is: 7,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,393.98 : 10,207.46 = 5,711.62 : x
  2. Step 2: Convert to fraction form
    7,393.98/10,207.46 = 5,711.62/x
  3. Step 3: Cross multiply
    7,393.98x = 10,207.46 × 5,711.62
  4. Step 4: Simplify right side
    7,393.98x = 58,301,132.69
  5. Step 5: Solve for x
    x = 58,301,132.69/7,393.98
  6. Step 6: Final answer
    x = 7,884.95

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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.