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Finding the Fourth Proportional to 8,187.80, 12,257.40 and 7,215.80

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Solution

The fourth proportional to 8,187.80, 12,257.40 and 7,215.80 is: 10,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.80 : 12,257.40 = 7,215.80 : x
  2. Step 2: Convert to fraction form
    8,187.80/12,257.40 = 7,215.80/x
  3. Step 3: Cross multiply
    8,187.80x = 12,257.40 × 7,215.80
  4. Step 4: Simplify right side
    8,187.80x = 88,446,946.92
  5. Step 5: Solve for x
    x = 88,446,946.92/8,187.80
  6. Step 6: Final answer
    x = 10,802.28

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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.