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Finding the Fourth Proportional to 11,758.78, 16,206.91 and 11,205.15

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Solution

The fourth proportional to 11,758.78, 16,206.91 and 11,205.15 is: 15,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.78 : 16,206.91 = 11,205.15 : x
  2. Step 2: Convert to fraction form
    11,758.78/16,206.91 = 11,205.15/x
  3. Step 3: Cross multiply
    11,758.78x = 16,206.91 × 11,205.15
  4. Step 4: Simplify right side
    11,758.78x = 181,600,857.59
  5. Step 5: Solve for x
    x = 181,600,857.59/11,758.78
  6. Step 6: Final answer
    x = 15,443.85

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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.