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Finding the Fourth Proportional to 7,311.27, 10,092.24 and 4,328.13

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Solution

The fourth proportional to 7,311.27, 10,092.24 and 4,328.13 is: 5,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.27 : 10,092.24 = 4,328.13 : x
  2. Step 2: Convert to fraction form
    7,311.27/10,092.24 = 4,328.13/x
  3. Step 3: Cross multiply
    7,311.27x = 10,092.24 × 4,328.13
  4. Step 4: Simplify right side
    7,311.27x = 43,680,526.71
  5. Step 5: Solve for x
    x = 43,680,526.71/7,311.27
  6. Step 6: Final answer
    x = 5,974.41

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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.