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Finding the Fourth Proportional to 8,839.76, 12,218.37 and 7,769.50

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Solution

The fourth proportional to 8,839.76, 12,218.37 and 7,769.50 is: 10,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,839.76 : 12,218.37 = 7,769.50 : x
  2. Step 2: Convert to fraction form
    8,839.76/12,218.37 = 7,769.50/x
  3. Step 3: Cross multiply
    8,839.76x = 12,218.37 × 7,769.50
  4. Step 4: Simplify right side
    8,839.76x = 94,930,625.72
  5. Step 5: Solve for x
    x = 94,930,625.72/8,839.76
  6. Step 6: Final answer
    x = 10,739.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.