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Finding the Fourth Proportional to 7,084.08, 9,778.04 and 5,677.56

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Solution

The fourth proportional to 7,084.08, 9,778.04 and 5,677.56 is: 7,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.08 : 9,778.04 = 5,677.56 : x
  2. Step 2: Convert to fraction form
    7,084.08/9,778.04 = 5,677.56/x
  3. Step 3: Cross multiply
    7,084.08x = 9,778.04 × 5,677.56
  4. Step 4: Simplify right side
    7,084.08x = 55,515,408.78
  5. Step 5: Solve for x
    x = 55,515,408.78/7,084.08
  6. Step 6: Final answer
    x = 7,836.64

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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.