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Finding the Fourth Proportional to 8,294.35, 11,448.56 and 5,463.79

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Solution

The fourth proportional to 8,294.35, 11,448.56 and 5,463.79 is: 7,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.35 : 11,448.56 = 5,463.79 : x
  2. Step 2: Convert to fraction form
    8,294.35/11,448.56 = 5,463.79/x
  3. Step 3: Cross multiply
    8,294.35x = 11,448.56 × 5,463.79
  4. Step 4: Simplify right side
    8,294.35x = 62,552,527.64
  5. Step 5: Solve for x
    x = 62,552,527.64/8,294.35
  6. Step 6: Final answer
    x = 7,541.58

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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.