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Finding the Fourth Proportional to 8,427.60, 12,634.80 and 5,140.08

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Solution

The fourth proportional to 8,427.60, 12,634.80 and 5,140.08 is: 7,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.60 : 12,634.80 = 5,140.08 : x
  2. Step 2: Convert to fraction form
    8,427.60/12,634.80 = 5,140.08/x
  3. Step 3: Cross multiply
    8,427.60x = 12,634.80 × 5,140.08
  4. Step 4: Simplify right side
    8,427.60x = 64,943,882.78
  5. Step 5: Solve for x
    x = 64,943,882.78/8,427.60
  6. Step 6: Final answer
    x = 7,706.09

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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.