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Finding the Fourth Proportional to 8,178.40, 12,235.20 and 7,400.80

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Solution

The fourth proportional to 8,178.40, 12,235.20 and 7,400.80 is: 11,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.40 : 12,235.20 = 7,400.80 : x
  2. Step 2: Convert to fraction form
    8,178.40/12,235.20 = 7,400.80/x
  3. Step 3: Cross multiply
    8,178.40x = 12,235.20 × 7,400.80
  4. Step 4: Simplify right side
    8,178.40x = 90,550,268.16
  5. Step 5: Solve for x
    x = 90,550,268.16/8,178.40
  6. Step 6: Final answer
    x = 11,071.88

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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.