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Finding the Fourth Proportional to 8,648.47, 11,934.25 and 5,111.02

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Solution

The fourth proportional to 8,648.47, 11,934.25 and 5,111.02 is: 7,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.47 : 11,934.25 = 5,111.02 : x
  2. Step 2: Convert to fraction form
    8,648.47/11,934.25 = 5,111.02/x
  3. Step 3: Cross multiply
    8,648.47x = 11,934.25 × 5,111.02
  4. Step 4: Simplify right side
    8,648.47x = 60,996,190.44
  5. Step 5: Solve for x
    x = 60,996,190.44/8,648.47
  6. Step 6: Final answer
    x = 7,052.83

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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.