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Finding the Fourth Proportional to 10,294.56, 15,441.68 and 2,503.38

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Solution

The fourth proportional to 10,294.56, 15,441.68 and 2,503.38 is: 3,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.56 : 15,441.68 = 2,503.38 : x
  2. Step 2: Convert to fraction form
    10,294.56/15,441.68 = 2,503.38/x
  3. Step 3: Cross multiply
    10,294.56x = 15,441.68 × 2,503.38
  4. Step 4: Simplify right side
    10,294.56x = 38,656,392.88
  5. Step 5: Solve for x
    x = 38,656,392.88/10,294.56
  6. Step 6: Final answer
    x = 3,755.03

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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.