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Finding the Fourth Proportional to 7,465.40, 11,170.71 and 6,229.76

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Solution

The fourth proportional to 7,465.40, 11,170.71 and 6,229.76 is: 9,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.40 : 11,170.71 = 6,229.76 : x
  2. Step 2: Convert to fraction form
    7,465.40/11,170.71 = 6,229.76/x
  3. Step 3: Cross multiply
    7,465.40x = 11,170.71 × 6,229.76
  4. Step 4: Simplify right side
    7,465.40x = 69,590,842.33
  5. Step 5: Solve for x
    x = 69,590,842.33/7,465.40
  6. Step 6: Final answer
    x = 9,321.78

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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.