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Finding the Fourth Proportional to 8,221.44, 12,333.12 and 7,580.16

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Solution

The fourth proportional to 8,221.44, 12,333.12 and 7,580.16 is: 11,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.44 : 12,333.12 = 7,580.16 : x
  2. Step 2: Convert to fraction form
    8,221.44/12,333.12 = 7,580.16/x
  3. Step 3: Cross multiply
    8,221.44x = 12,333.12 × 7,580.16
  4. Step 4: Simplify right side
    8,221.44x = 93,487,022.90
  5. Step 5: Solve for x
    x = 93,487,022.90/8,221.44
  6. Step 6: Final answer
    x = 11,371.13

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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.