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Finding the Fourth Proportional to 10,150.22, 13,992.39 and 6,564.90

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Solution

The fourth proportional to 10,150.22, 13,992.39 and 6,564.90 is: 9,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150.22 : 13,992.39 = 6,564.90 : x
  2. Step 2: Convert to fraction form
    10,150.22/13,992.39 = 6,564.90/x
  3. Step 3: Cross multiply
    10,150.22x = 13,992.39 × 6,564.90
  4. Step 4: Simplify right side
    10,150.22x = 91,858,641.11
  5. Step 5: Solve for x
    x = 91,858,641.11/10,150.22
  6. Step 6: Final answer
    x = 9,049.92

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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.