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Finding the Fourth Proportional to 8,211.60, 12,331.80 and 7,952.40

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Solution

The fourth proportional to 8,211.60, 12,331.80 and 7,952.40 is: 11,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.60 : 12,331.80 = 7,952.40 : x
  2. Step 2: Convert to fraction form
    8,211.60/12,331.80 = 7,952.40/x
  3. Step 3: Cross multiply
    8,211.60x = 12,331.80 × 7,952.40
  4. Step 4: Simplify right side
    8,211.60x = 98,067,406.32
  5. Step 5: Solve for x
    x = 98,067,406.32/8,211.60
  6. Step 6: Final answer
    x = 11,942.55

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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.