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Finding the Fourth Proportional to 10,414.13, 15,620.04 and 2,622.95

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Solution

The fourth proportional to 10,414.13, 15,620.04 and 2,622.95 is: 3,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.13 : 15,620.04 = 2,622.95 : x
  2. Step 2: Convert to fraction form
    10,414.13/15,620.04 = 2,622.95/x
  3. Step 3: Cross multiply
    10,414.13x = 15,620.04 × 2,622.95
  4. Step 4: Simplify right side
    10,414.13x = 40,970,505.82
  5. Step 5: Solve for x
    x = 40,970,505.82/10,414.13
  6. Step 6: Final answer
    x = 3,934.13

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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.