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Finding the Fourth Proportional to 7,552.80, 10,427.94 and 5,781.24

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Solution

The fourth proportional to 7,552.80, 10,427.94 and 5,781.24 is: 7,982.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.80 : 10,427.94 = 5,781.24 : x
  2. Step 2: Convert to fraction form
    7,552.80/10,427.94 = 5,781.24/x
  3. Step 3: Cross multiply
    7,552.80x = 10,427.94 × 5,781.24
  4. Step 4: Simplify right side
    7,552.80x = 60,286,423.85
  5. Step 5: Solve for x
    x = 60,286,423.85/7,552.80
  6. Step 6: Final answer
    x = 7,982.00

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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.