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Finding the Fourth Proportional to 8,142.80, 12,216.42 and 3,463.56

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Solution

The fourth proportional to 8,142.80, 12,216.42 and 3,463.56 is: 5,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.80 : 12,216.42 = 3,463.56 : x
  2. Step 2: Convert to fraction form
    8,142.80/12,216.42 = 3,463.56/x
  3. Step 3: Cross multiply
    8,142.80x = 12,216.42 × 3,463.56
  4. Step 4: Simplify right side
    8,142.80x = 42,312,303.66
  5. Step 5: Solve for x
    x = 42,312,303.66/8,142.80
  6. Step 6: Final answer
    x = 5,196.29

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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.