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Finding the Fourth Proportional to 7,128.96, 10,689.31 and 2,197.27

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Solution

The fourth proportional to 7,128.96, 10,689.31 and 2,197.27 is: 3,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.96 : 10,689.31 = 2,197.27 : x
  2. Step 2: Convert to fraction form
    7,128.96/10,689.31 = 2,197.27/x
  3. Step 3: Cross multiply
    7,128.96x = 10,689.31 × 2,197.27
  4. Step 4: Simplify right side
    7,128.96x = 23,487,300.18
  5. Step 5: Solve for x
    x = 23,487,300.18/7,128.96
  6. Step 6: Final answer
    x = 3,294.63

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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.