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Finding the Fourth Proportional to 10,422.60, 15,617.43 and 8,356.02

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Solution

The fourth proportional to 10,422.60, 15,617.43 and 8,356.02 is: 12,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.60 : 15,617.43 = 8,356.02 : x
  2. Step 2: Convert to fraction form
    10,422.60/15,617.43 = 8,356.02/x
  3. Step 3: Cross multiply
    10,422.60x = 15,617.43 × 8,356.02
  4. Step 4: Simplify right side
    10,422.60x = 130,499,557.43
  5. Step 5: Solve for x
    x = 130,499,557.43/10,422.60
  6. Step 6: Final answer
    x = 12,520.83

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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.