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Finding the Fourth Proportional to 7,114.57, 10,695.23 and 6,600.78

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Solution

The fourth proportional to 7,114.57, 10,695.23 and 6,600.78 is: 9,922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.57 : 10,695.23 = 6,600.78 : x
  2. Step 2: Convert to fraction form
    7,114.57/10,695.23 = 6,600.78/x
  3. Step 3: Cross multiply
    7,114.57x = 10,695.23 × 6,600.78
  4. Step 4: Simplify right side
    7,114.57x = 70,596,860.28
  5. Step 5: Solve for x
    x = 70,596,860.28/7,114.57
  6. Step 6: Final answer
    x = 9,922.86

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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.