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Finding the Fourth Proportional to 7,645.10, 11,449.17 and 4,348.19

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Solution

The fourth proportional to 7,645.10, 11,449.17 and 4,348.19 is: 6,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.10 : 11,449.17 = 4,348.19 : x
  2. Step 2: Convert to fraction form
    7,645.10/11,449.17 = 4,348.19/x
  3. Step 3: Cross multiply
    7,645.10x = 11,449.17 × 4,348.19
  4. Step 4: Simplify right side
    7,645.10x = 49,783,195.13
  5. Step 5: Solve for x
    x = 49,783,195.13/7,645.10
  6. Step 6: Final answer
    x = 6,511.78

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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.