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Finding the Fourth Proportional to 8,230.40, 12,334.21 and 7,132.04

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Solution

The fourth proportional to 8,230.40, 12,334.21 and 7,132.04 is: 10,688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.40 : 12,334.21 = 7,132.04 : x
  2. Step 2: Convert to fraction form
    8,230.40/12,334.21 = 7,132.04/x
  3. Step 3: Cross multiply
    8,230.40x = 12,334.21 × 7,132.04
  4. Step 4: Simplify right side
    8,230.40x = 87,967,999.59
  5. Step 5: Solve for x
    x = 87,967,999.59/8,230.40
  6. Step 6: Final answer
    x = 10,688.19

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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.