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Finding the Fourth Proportional to 8,048.58, 11,102.31 and 4,689.78

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Solution

The fourth proportional to 8,048.58, 11,102.31 and 4,689.78 is: 6,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.58 : 11,102.31 = 4,689.78 : x
  2. Step 2: Convert to fraction form
    8,048.58/11,102.31 = 4,689.78/x
  3. Step 3: Cross multiply
    8,048.58x = 11,102.31 × 4,689.78
  4. Step 4: Simplify right side
    8,048.58x = 52,067,391.39
  5. Step 5: Solve for x
    x = 52,067,391.39/8,048.58
  6. Step 6: Final answer
    x = 6,469.14

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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.