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Finding the Fourth Proportional to 10,414.38, 15,620.41 and 2,623.20

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Solution

The fourth proportional to 10,414.38, 15,620.41 and 2,623.20 is: 3,934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.38 : 15,620.41 = 2,623.20 : x
  2. Step 2: Convert to fraction form
    10,414.38/15,620.41 = 2,623.20/x
  3. Step 3: Cross multiply
    10,414.38x = 15,620.41 × 2,623.20
  4. Step 4: Simplify right side
    10,414.38x = 40,975,459.51
  5. Step 5: Solve for x
    x = 40,975,459.51/10,414.38
  6. Step 6: Final answer
    x = 3,934.51

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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.