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Finding the Fourth Proportional to 8,387.78, 12,574.44 and 3,454.34

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Solution

The fourth proportional to 8,387.78, 12,574.44 and 3,454.34 is: 5,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.78 : 12,574.44 = 3,454.34 : x
  2. Step 2: Convert to fraction form
    8,387.78/12,574.44 = 3,454.34/x
  3. Step 3: Cross multiply
    8,387.78x = 12,574.44 × 3,454.34
  4. Step 4: Simplify right side
    8,387.78x = 43,436,391.07
  5. Step 5: Solve for x
    x = 43,436,391.07/8,387.78
  6. Step 6: Final answer
    x = 5,178.53

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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.