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Finding the Fourth Proportional to 7,680.60, 11,506.90 and 5,335.64

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Solution

The fourth proportional to 7,680.60, 11,506.90 and 5,335.64 is: 7,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.60 : 11,506.90 = 5,335.64 : x
  2. Step 2: Convert to fraction form
    7,680.60/11,506.90 = 5,335.64/x
  3. Step 3: Cross multiply
    7,680.60x = 11,506.90 × 5,335.64
  4. Step 4: Simplify right side
    7,680.60x = 61,396,675.92
  5. Step 5: Solve for x
    x = 61,396,675.92/7,680.60
  6. Step 6: Final answer
    x = 7,993.73

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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.