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Finding the Fourth Proportional to 7,863.48, 10,849.82 and 5,740.17

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Solution

The fourth proportional to 7,863.48, 10,849.82 and 5,740.17 is: 7,920.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.48 : 10,849.82 = 5,740.17 : x
  2. Step 2: Convert to fraction form
    7,863.48/10,849.82 = 5,740.17/x
  3. Step 3: Cross multiply
    7,863.48x = 10,849.82 × 5,740.17
  4. Step 4: Simplify right side
    7,863.48x = 62,279,728.32
  5. Step 5: Solve for x
    x = 62,279,728.32/7,863.48
  6. Step 6: Final answer
    x = 7,920.12

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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.