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Finding the Fourth Proportional to 12,276.56, 16,928.25 and 8,290.76

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Solution

The fourth proportional to 12,276.56, 16,928.25 and 8,290.76 is: 11,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.56 : 16,928.25 = 8,290.76 : x
  2. Step 2: Convert to fraction form
    12,276.56/16,928.25 = 8,290.76/x
  3. Step 3: Cross multiply
    12,276.56x = 16,928.25 × 8,290.76
  4. Step 4: Simplify right side
    12,276.56x = 140,348,057.97
  5. Step 5: Solve for x
    x = 140,348,057.97/12,276.56
  6. Step 6: Final answer
    x = 11,432.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.