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Finding the Fourth Proportional to 26,500.38, 39,750.78 and 7,780.71

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Solution

The fourth proportional to 26,500.38, 39,750.78 and 7,780.71 is: 11,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,500.38 : 39,750.78 = 7,780.71 : x
  2. Step 2: Convert to fraction form
    26,500.38/39,750.78 = 7,780.71/x
  3. Step 3: Cross multiply
    26,500.38x = 39,750.78 × 7,780.71
  4. Step 4: Simplify right side
    26,500.38x = 309,289,469.70
  5. Step 5: Solve for x
    x = 309,289,469.70/26,500.38
  6. Step 6: Final answer
    x = 11,671.14

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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.