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Finding the Fourth Proportional to 8,132.70, 12,199.05 and 7,182.30

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Solution

The fourth proportional to 8,132.70, 12,199.05 and 7,182.30 is: 10,773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.70 : 12,199.05 = 7,182.30 : x
  2. Step 2: Convert to fraction form
    8,132.70/12,199.05 = 7,182.30/x
  3. Step 3: Cross multiply
    8,132.70x = 12,199.05 × 7,182.30
  4. Step 4: Simplify right side
    8,132.70x = 87,617,236.82
  5. Step 5: Solve for x
    x = 87,617,236.82/8,132.70
  6. Step 6: Final answer
    x = 10,773.45

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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.