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Finding the Fourth Proportional to 8,278.40, 12,417.60 and 7,727.60

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Solution

The fourth proportional to 8,278.40, 12,417.60 and 7,727.60 is: 11,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.40 : 12,417.60 = 7,727.60 : x
  2. Step 2: Convert to fraction form
    8,278.40/12,417.60 = 7,727.60/x
  3. Step 3: Cross multiply
    8,278.40x = 12,417.60 × 7,727.60
  4. Step 4: Simplify right side
    8,278.40x = 95,958,245.76
  5. Step 5: Solve for x
    x = 95,958,245.76/8,278.40
  6. Step 6: Final answer
    x = 11,591.40

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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.