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Finding the Fourth Proportional to 8,256.62, 12,386.14 and 3,874.52

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Solution

The fourth proportional to 8,256.62, 12,386.14 and 3,874.52 is: 5,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.62 : 12,386.14 = 3,874.52 : x
  2. Step 2: Convert to fraction form
    8,256.62/12,386.14 = 3,874.52/x
  3. Step 3: Cross multiply
    8,256.62x = 12,386.14 × 3,874.52
  4. Step 4: Simplify right side
    8,256.62x = 47,990,347.15
  5. Step 5: Solve for x
    x = 47,990,347.15/8,256.62
  6. Step 6: Final answer
    x = 5,812.35

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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.