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Finding the Fourth Proportional to 8,294.81, 11,444.85 and 4,708.97

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Solution

The fourth proportional to 8,294.81, 11,444.85 and 4,708.97 is: 6,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.81 : 11,444.85 = 4,708.97 : x
  2. Step 2: Convert to fraction form
    8,294.81/11,444.85 = 4,708.97/x
  3. Step 3: Cross multiply
    8,294.81x = 11,444.85 × 4,708.97
  4. Step 4: Simplify right side
    8,294.81x = 53,893,455.30
  5. Step 5: Solve for x
    x = 53,893,455.30/8,294.81
  6. Step 6: Final answer
    x = 6,497.25

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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.