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Finding the Fourth Proportional to 8,141.13, 12,212.12 and 2,298.20

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Solution

The fourth proportional to 8,141.13, 12,212.12 and 2,298.20 is: 3,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.13 : 12,212.12 = 2,298.20 : x
  2. Step 2: Convert to fraction form
    8,141.13/12,212.12 = 2,298.20/x
  3. Step 3: Cross multiply
    8,141.13x = 12,212.12 × 2,298.20
  4. Step 4: Simplify right side
    8,141.13x = 28,065,838.87
  5. Step 5: Solve for x
    x = 28,065,838.87/8,141.13
  6. Step 6: Final answer
    x = 3,447.41

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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.