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Finding the Fourth Proportional to 7,801.75, 11,695.67 and 2,870.20

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Solution

The fourth proportional to 7,801.75, 11,695.67 and 2,870.20 is: 4,302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.75 : 11,695.67 = 2,870.20 : x
  2. Step 2: Convert to fraction form
    7,801.75/11,695.67 = 2,870.20/x
  3. Step 3: Cross multiply
    7,801.75x = 11,695.67 × 2,870.20
  4. Step 4: Simplify right side
    7,801.75x = 33,568,912.03
  5. Step 5: Solve for x
    x = 33,568,912.03/7,801.75
  6. Step 6: Final answer
    x = 4,302.74

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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.