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Finding the Fourth Proportional to 10,414.01, 14,350.07 and 7,423.49

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Solution

The fourth proportional to 10,414.01, 14,350.07 and 7,423.49 is: 10,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.01 : 14,350.07 = 7,423.49 : x
  2. Step 2: Convert to fraction form
    10,414.01/14,350.07 = 7,423.49/x
  3. Step 3: Cross multiply
    10,414.01x = 14,350.07 × 7,423.49
  4. Step 4: Simplify right side
    10,414.01x = 106,527,492.28
  5. Step 5: Solve for x
    x = 106,527,492.28/10,414.01
  6. Step 6: Final answer
    x = 10,229.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.