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Finding the Fourth Proportional to 7,127.68, 10,693.92 and 2,197.12

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Solution

The fourth proportional to 7,127.68, 10,693.92 and 2,197.12 is: 3,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.68 : 10,693.92 = 2,197.12 : x
  2. Step 2: Convert to fraction form
    7,127.68/10,693.92 = 2,197.12/x
  3. Step 3: Cross multiply
    7,127.68x = 10,693.92 × 2,197.12
  4. Step 4: Simplify right side
    7,127.68x = 23,495,825.51
  5. Step 5: Solve for x
    x = 23,495,825.51/7,127.68
  6. Step 6: Final answer
    x = 3,296.42

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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.