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Finding the Fourth Proportional to 8,142.40, 12,219.43 and 3,465.69

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Solution

The fourth proportional to 8,142.40, 12,219.43 and 3,465.69 is: 5,201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.40 : 12,219.43 = 3,465.69 : x
  2. Step 2: Convert to fraction form
    8,142.40/12,219.43 = 3,465.69/x
  3. Step 3: Cross multiply
    8,142.40x = 12,219.43 × 3,465.69
  4. Step 4: Simplify right side
    8,142.40x = 42,348,747.69
  5. Step 5: Solve for x
    x = 42,348,747.69/8,142.40
  6. Step 6: Final answer
    x = 5,201.02

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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.