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Finding the Fourth Proportional to 7,107.56, 9,812.38 and 4,275.62

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Solution

The fourth proportional to 7,107.56, 9,812.38 and 4,275.62 is: 5,902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.56 : 9,812.38 = 4,275.62 : x
  2. Step 2: Convert to fraction form
    7,107.56/9,812.38 = 4,275.62/x
  3. Step 3: Cross multiply
    7,107.56x = 9,812.38 × 4,275.62
  4. Step 4: Simplify right side
    7,107.56x = 41,954,008.18
  5. Step 5: Solve for x
    x = 41,954,008.18/7,107.56
  6. Step 6: Final answer
    x = 5,902.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.