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Finding the Fourth Proportional to 8,722.56, 13,083.68 and 2,148.78

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Solution

The fourth proportional to 8,722.56, 13,083.68 and 2,148.78 is: 3,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.56 : 13,083.68 = 2,148.78 : x
  2. Step 2: Convert to fraction form
    8,722.56/13,083.68 = 2,148.78/x
  3. Step 3: Cross multiply
    8,722.56x = 13,083.68 × 2,148.78
  4. Step 4: Simplify right side
    8,722.56x = 28,113,949.91
  5. Step 5: Solve for x
    x = 28,113,949.91/8,722.56
  6. Step 6: Final answer
    x = 3,223.13

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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.