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Finding the Fourth Proportional to 7,854.50, 11,784.78 and 2,660.36

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Solution

The fourth proportional to 7,854.50, 11,784.78 and 2,660.36 is: 3,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.50 : 11,784.78 = 2,660.36 : x
  2. Step 2: Convert to fraction form
    7,854.50/11,784.78 = 2,660.36/x
  3. Step 3: Cross multiply
    7,854.50x = 11,784.78 × 2,660.36
  4. Step 4: Simplify right side
    7,854.50x = 31,351,757.32
  5. Step 5: Solve for x
    x = 31,351,757.32/7,854.50
  6. Step 6: Final answer
    x = 3,991.57

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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.