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Finding the Fourth Proportional to 8,557.80, 12,855.90 and 8,231.40

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Solution

The fourth proportional to 8,557.80, 12,855.90 and 8,231.40 is: 12,365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,557.80 : 12,855.90 = 8,231.40 : x
  2. Step 2: Convert to fraction form
    8,557.80/12,855.90 = 8,231.40/x
  3. Step 3: Cross multiply
    8,557.80x = 12,855.90 × 8,231.40
  4. Step 4: Simplify right side
    8,557.80x = 105,822,055.26
  5. Step 5: Solve for x
    x = 105,822,055.26/8,557.80
  6. Step 6: Final answer
    x = 12,365.57

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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.