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Finding the Fourth Proportional to 7,186.16, 10,781.16 and 3,023.96

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Solution

The fourth proportional to 7,186.16, 10,781.16 and 3,023.96 is: 4,536.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.16 : 10,781.16 = 3,023.96 : x
  2. Step 2: Convert to fraction form
    7,186.16/10,781.16 = 3,023.96/x
  3. Step 3: Cross multiply
    7,186.16x = 10,781.16 × 3,023.96
  4. Step 4: Simplify right side
    7,186.16x = 32,601,796.59
  5. Step 5: Solve for x
    x = 32,601,796.59/7,186.16
  6. Step 6: Final answer
    x = 4,536.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.