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Finding the Fourth Proportional to 8,385.56, 12,578.34 and 2,842.81

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Solution

The fourth proportional to 8,385.56, 12,578.34 and 2,842.81 is: 4,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.56 : 12,578.34 = 2,842.81 : x
  2. Step 2: Convert to fraction form
    8,385.56/12,578.34 = 2,842.81/x
  3. Step 3: Cross multiply
    8,385.56x = 12,578.34 × 2,842.81
  4. Step 4: Simplify right side
    8,385.56x = 35,757,753.63
  5. Step 5: Solve for x
    x = 35,757,753.63/8,385.56
  6. Step 6: Final answer
    x = 4,264.21

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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.