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Finding the Fourth Proportional to 8,671.14, 11,965.76 and 5,085.61

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Solution

The fourth proportional to 8,671.14, 11,965.76 and 5,085.61 is: 7,017.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.14 : 11,965.76 = 5,085.61 : x
  2. Step 2: Convert to fraction form
    8,671.14/11,965.76 = 5,085.61/x
  3. Step 3: Cross multiply
    8,671.14x = 11,965.76 × 5,085.61
  4. Step 4: Simplify right side
    8,671.14x = 60,853,152.44
  5. Step 5: Solve for x
    x = 60,853,152.44/8,671.14
  6. Step 6: Final answer
    x = 7,017.90

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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.