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Finding the Fourth Proportional to 8,244.34, 11,377.92 and 4,708.69

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Solution

The fourth proportional to 8,244.34, 11,377.92 and 4,708.69 is: 6,498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244.34 : 11,377.92 = 4,708.69 : x
  2. Step 2: Convert to fraction form
    8,244.34/11,377.92 = 4,708.69/x
  3. Step 3: Cross multiply
    8,244.34x = 11,377.92 × 4,708.69
  4. Step 4: Simplify right side
    8,244.34x = 53,575,098.12
  5. Step 5: Solve for x
    x = 53,575,098.12/8,244.34
  6. Step 6: Final answer
    x = 6,498.41

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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.