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Finding the Fourth Proportional to 8,081.34, 12,122 and 2,535.13

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Solution

The fourth proportional to 8,081.34, 12,122 and 2,535.13 is: 3,802.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.34 : 12,122 = 2,535.13 : x
  2. Step 2: Convert to fraction form
    8,081.34/12,122 = 2,535.13/x
  3. Step 3: Cross multiply
    8,081.34x = 12,122 × 2,535.13
  4. Step 4: Simplify right side
    8,081.34x = 30,730,845.86
  5. Step 5: Solve for x
    x = 30,730,845.86/8,081.34
  6. Step 6: Final answer
    x = 3,802.69

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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.