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Finding the Fourth Proportional to 8,671.24, 11,966.40 and 5,085.40

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Solution

The fourth proportional to 8,671.24, 11,966.40 and 5,085.40 is: 7,017.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.24 : 11,966.40 = 5,085.40 : x
  2. Step 2: Convert to fraction form
    8,671.24/11,966.40 = 5,085.40/x
  3. Step 3: Cross multiply
    8,671.24x = 11,966.40 × 5,085.40
  4. Step 4: Simplify right side
    8,671.24x = 60,853,930.56
  5. Step 5: Solve for x
    x = 60,853,930.56/8,671.24
  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.