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Finding the Fourth Proportional to 7,686.35, 10,584.83 and 6,677.60

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Solution

The fourth proportional to 7,686.35, 10,584.83 and 6,677.60 is: 9,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.35 : 10,584.83 = 6,677.60 : x
  2. Step 2: Convert to fraction form
    7,686.35/10,584.83 = 6,677.60/x
  3. Step 3: Cross multiply
    7,686.35x = 10,584.83 × 6,677.60
  4. Step 4: Simplify right side
    7,686.35x = 70,681,264.27
  5. Step 5: Solve for x
    x = 70,681,264.27/7,686.35
  6. Step 6: Final answer
    x = 9,195.68

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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.