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Finding the Fourth Proportional to 8,350.26, 12,464.45 and 7,741.14

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Solution

The fourth proportional to 8,350.26, 12,464.45 and 7,741.14 is: 11,555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,350.26 : 12,464.45 = 7,741.14 : x
  2. Step 2: Convert to fraction form
    8,350.26/12,464.45 = 7,741.14/x
  3. Step 3: Cross multiply
    8,350.26x = 12,464.45 × 7,741.14
  4. Step 4: Simplify right side
    8,350.26x = 96,489,013.77
  5. Step 5: Solve for x
    x = 96,489,013.77/8,350.26
  6. Step 6: Final answer
    x = 11,555.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.