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Finding the Fourth Proportional to 8,586.63, 12,878.01 and 5,422.56

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Solution

The fourth proportional to 8,586.63, 12,878.01 and 5,422.56 is: 8,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.63 : 12,878.01 = 5,422.56 : x
  2. Step 2: Convert to fraction form
    8,586.63/12,878.01 = 5,422.56/x
  3. Step 3: Cross multiply
    8,586.63x = 12,878.01 × 5,422.56
  4. Step 4: Simplify right side
    8,586.63x = 69,831,781.91
  5. Step 5: Solve for x
    x = 69,831,781.91/8,586.63
  6. Step 6: Final answer
    x = 8,132.62

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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.