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Finding the Fourth Proportional to 7,162.71, 10,755.31 and 6,066.50

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Solution

The fourth proportional to 7,162.71, 10,755.31 and 6,066.50 is: 9,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.71 : 10,755.31 = 6,066.50 : x
  2. Step 2: Convert to fraction form
    7,162.71/10,755.31 = 6,066.50/x
  3. Step 3: Cross multiply
    7,162.71x = 10,755.31 × 6,066.50
  4. Step 4: Simplify right side
    7,162.71x = 65,247,102.92
  5. Step 5: Solve for x
    x = 65,247,102.92/7,162.71
  6. Step 6: Final answer
    x = 9,109.27

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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.