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Finding the Fourth Proportional to 8,442.79, 11,651.22 and 5,463.81

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Solution

The fourth proportional to 8,442.79, 11,651.22 and 5,463.81 is: 7,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.79 : 11,651.22 = 5,463.81 : x
  2. Step 2: Convert to fraction form
    8,442.79/11,651.22 = 5,463.81/x
  3. Step 3: Cross multiply
    8,442.79x = 11,651.22 × 5,463.81
  4. Step 4: Simplify right side
    8,442.79x = 63,660,052.35
  5. Step 5: Solve for x
    x = 63,660,052.35/8,442.79
  6. Step 6: Final answer
    x = 7,540.17

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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.