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Finding the Fourth Proportional to 7,789.84, 11,677.28 and 3,890.56

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Solution

The fourth proportional to 7,789.84, 11,677.28 and 3,890.56 is: 5,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.84 : 11,677.28 = 3,890.56 : x
  2. Step 2: Convert to fraction form
    7,789.84/11,677.28 = 3,890.56/x
  3. Step 3: Cross multiply
    7,789.84x = 11,677.28 × 3,890.56
  4. Step 4: Simplify right side
    7,789.84x = 45,431,158.48
  5. Step 5: Solve for x
    x = 45,431,158.48/7,789.84
  6. Step 6: Final answer
    x = 5,832.10

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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.