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Finding the Fourth Proportional to 8,230.56, 12,346.07 and 3,232.72

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Solution

The fourth proportional to 8,230.56, 12,346.07 and 3,232.72 is: 4,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.56 : 12,346.07 = 3,232.72 : x
  2. Step 2: Convert to fraction form
    8,230.56/12,346.07 = 3,232.72/x
  3. Step 3: Cross multiply
    8,230.56x = 12,346.07 × 3,232.72
  4. Step 4: Simplify right side
    8,230.56x = 39,911,387.41
  5. Step 5: Solve for x
    x = 39,911,387.41/8,230.56
  6. Step 6: Final answer
    x = 4,849.17

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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.