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Finding the Fourth Proportional to 7,162.97, 10,728.88 and 4,381.23

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Solution

The fourth proportional to 7,162.97, 10,728.88 and 4,381.23 is: 6,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.97 : 10,728.88 = 4,381.23 : x
  2. Step 2: Convert to fraction form
    7,162.97/10,728.88 = 4,381.23/x
  3. Step 3: Cross multiply
    7,162.97x = 10,728.88 × 4,381.23
  4. Step 4: Simplify right side
    7,162.97x = 47,005,690.92
  5. Step 5: Solve for x
    x = 47,005,690.92/7,162.97
  6. Step 6: Final answer
    x = 6,562.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.