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Finding the Fourth Proportional to 7,781.82, 11,672.73 and 2,587.69

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Solution

The fourth proportional to 7,781.82, 11,672.73 and 2,587.69 is: 3,881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.82 : 11,672.73 = 2,587.69 : x
  2. Step 2: Convert to fraction form
    7,781.82/11,672.73 = 2,587.69/x
  3. Step 3: Cross multiply
    7,781.82x = 11,672.73 × 2,587.69
  4. Step 4: Simplify right side
    7,781.82x = 30,205,393.76
  5. Step 5: Solve for x
    x = 30,205,393.76/7,781.82
  6. Step 6: Final answer
    x = 3,881.54

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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.