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Finding the Fourth Proportional to 8,294.48, 11,448.73 and 5,463.92

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Solution

The fourth proportional to 8,294.48, 11,448.73 and 5,463.92 is: 7,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.48 : 11,448.73 = 5,463.92 : x
  2. Step 2: Convert to fraction form
    8,294.48/11,448.73 = 5,463.92/x
  3. Step 3: Cross multiply
    8,294.48x = 11,448.73 × 5,463.92
  4. Step 4: Simplify right side
    8,294.48x = 62,554,944.82
  5. Step 5: Solve for x
    x = 62,554,944.82/8,294.48
  6. Step 6: Final answer
    x = 7,541.76

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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.