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Finding the Fourth Proportional to 10,197.41, 15,294.38 and 2,800.13

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Solution

The fourth proportional to 10,197.41, 15,294.38 and 2,800.13 is: 4,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.41 : 15,294.38 = 2,800.13 : x
  2. Step 2: Convert to fraction form
    10,197.41/15,294.38 = 2,800.13/x
  3. Step 3: Cross multiply
    10,197.41x = 15,294.38 × 2,800.13
  4. Step 4: Simplify right side
    10,197.41x = 42,826,161.80
  5. Step 5: Solve for x
    x = 42,826,161.80/10,197.41
  6. Step 6: Final answer
    x = 4,199.71

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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.