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Finding the Fourth Proportional to 8,294.72, 11,446.23 and 4,708.71

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Solution

The fourth proportional to 8,294.72, 11,446.23 and 4,708.71 is: 6,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.72 : 11,446.23 = 4,708.71 : x
  2. Step 2: Convert to fraction form
    8,294.72/11,446.23 = 4,708.71/x
  3. Step 3: Cross multiply
    8,294.72x = 11,446.23 × 4,708.71
  4. Step 4: Simplify right side
    8,294.72x = 53,896,977.66
  5. Step 5: Solve for x
    x = 53,896,977.66/8,294.72
  6. Step 6: Final answer
    x = 6,497.75

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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.