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Finding the Fourth Proportional to 8,101.72, 12,159.06 and 4,207.24

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Solution

The fourth proportional to 8,101.72, 12,159.06 and 4,207.24 is: 6,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.72 : 12,159.06 = 4,207.24 : x
  2. Step 2: Convert to fraction form
    8,101.72/12,159.06 = 4,207.24/x
  3. Step 3: Cross multiply
    8,101.72x = 12,159.06 × 4,207.24
  4. Step 4: Simplify right side
    8,101.72x = 51,156,083.59
  5. Step 5: Solve for x
    x = 51,156,083.59/8,101.72
  6. Step 6: Final answer
    x = 6,314.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.