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Finding the Fourth Proportional to 8,159.28, 12,243.54 and 3,478.80

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Solution

The fourth proportional to 8,159.28, 12,243.54 and 3,478.80 is: 5,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.28 : 12,243.54 = 3,478.80 : x
  2. Step 2: Convert to fraction form
    8,159.28/12,243.54 = 3,478.80/x
  3. Step 3: Cross multiply
    8,159.28x = 12,243.54 × 3,478.80
  4. Step 4: Simplify right side
    8,159.28x = 42,592,826.95
  5. Step 5: Solve for x
    x = 42,592,826.95/8,159.28
  6. Step 6: Final answer
    x = 5,220.17

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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.