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Finding the Fourth Proportional to 8,763.67, 13,091.27 and 7,884.82

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Solution

The fourth proportional to 8,763.67, 13,091.27 and 7,884.82 is: 11,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,763.67 : 13,091.27 = 7,884.82 : x
  2. Step 2: Convert to fraction form
    8,763.67/13,091.27 = 7,884.82/x
  3. Step 3: Cross multiply
    8,763.67x = 13,091.27 × 7,884.82
  4. Step 4: Simplify right side
    8,763.67x = 103,222,307.52
  5. Step 5: Solve for x
    x = 103,222,307.52/8,763.67
  6. Step 6: Final answer
    x = 11,778.43

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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.