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Finding the Fourth Proportional to 7,197.32, 10,802.14 and 2,817.86

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Solution

The fourth proportional to 7,197.32, 10,802.14 and 2,817.86 is: 4,229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.32 : 10,802.14 = 2,817.86 : x
  2. Step 2: Convert to fraction form
    7,197.32/10,802.14 = 2,817.86/x
  3. Step 3: Cross multiply
    7,197.32x = 10,802.14 × 2,817.86
  4. Step 4: Simplify right side
    7,197.32x = 30,438,857.17
  5. Step 5: Solve for x
    x = 30,438,857.17/7,197.32
  6. Step 6: Final answer
    x = 4,229.19

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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.