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Finding the Fourth Proportional to 8,243.12, 12,365.24 and 3,312.76

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Solution

The fourth proportional to 8,243.12, 12,365.24 and 3,312.76 is: 4,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.12 : 12,365.24 = 3,312.76 : x
  2. Step 2: Convert to fraction form
    8,243.12/12,365.24 = 3,312.76/x
  3. Step 3: Cross multiply
    8,243.12x = 12,365.24 × 3,312.76
  4. Step 4: Simplify right side
    8,243.12x = 40,963,049.83
  5. Step 5: Solve for x
    x = 40,963,049.83/8,243.12
  6. Step 6: Final answer
    x = 4,969.37

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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.