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Finding the Fourth Proportional to 8,427.42, 12,641.40 and 2,880.54

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Solution

The fourth proportional to 8,427.42, 12,641.40 and 2,880.54 is: 4,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.42 : 12,641.40 = 2,880.54 : x
  2. Step 2: Convert to fraction form
    8,427.42/12,641.40 = 2,880.54/x
  3. Step 3: Cross multiply
    8,427.42x = 12,641.40 × 2,880.54
  4. Step 4: Simplify right side
    8,427.42x = 36,414,058.36
  5. Step 5: Solve for x
    x = 36,414,058.36/8,427.42
  6. Step 6: Final answer
    x = 4,320.90

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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.