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Finding the Fourth Proportional to 11,358.39, 15,661.17 and 7,775.09

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Solution

The fourth proportional to 11,358.39, 15,661.17 and 7,775.09 is: 10,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.39 : 15,661.17 = 7,775.09 : x
  2. Step 2: Convert to fraction form
    11,358.39/15,661.17 = 7,775.09/x
  3. Step 3: Cross multiply
    11,358.39x = 15,661.17 × 7,775.09
  4. Step 4: Simplify right side
    11,358.39x = 121,766,927.95
  5. Step 5: Solve for x
    x = 121,766,927.95/11,358.39
  6. Step 6: Final answer
    x = 10,720.44

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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.