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Finding the Fourth Proportional to 7,197.42, 10,797.66 and 4,078.86

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Solution

The fourth proportional to 7,197.42, 10,797.66 and 4,078.86 is: 6,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.42 : 10,797.66 = 4,078.86 : x
  2. Step 2: Convert to fraction form
    7,197.42/10,797.66 = 4,078.86/x
  3. Step 3: Cross multiply
    7,197.42x = 10,797.66 × 4,078.86
  4. Step 4: Simplify right side
    7,197.42x = 44,042,143.47
  5. Step 5: Solve for x
    x = 44,042,143.47/7,197.42
  6. Step 6: Final answer
    x = 6,119.16

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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.