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Finding the Fourth Proportional to 10,206.78, 15,310.74 and 3,187.76

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Solution

The fourth proportional to 10,206.78, 15,310.74 and 3,187.76 is: 4,781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.78 : 15,310.74 = 3,187.76 : x
  2. Step 2: Convert to fraction form
    10,206.78/15,310.74 = 3,187.76/x
  3. Step 3: Cross multiply
    10,206.78x = 15,310.74 × 3,187.76
  4. Step 4: Simplify right side
    10,206.78x = 48,807,002.82
  5. Step 5: Solve for x
    x = 48,807,002.82/10,206.78
  6. Step 6: Final answer
    x = 4,781.82

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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.