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Finding the Fourth Proportional to 7,170.27, 10,756.76 and 2,238.72

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Solution

The fourth proportional to 7,170.27, 10,756.76 and 2,238.72 is: 3,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.27 : 10,756.76 = 2,238.72 : x
  2. Step 2: Convert to fraction form
    7,170.27/10,756.76 = 2,238.72/x
  3. Step 3: Cross multiply
    7,170.27x = 10,756.76 × 2,238.72
  4. Step 4: Simplify right side
    7,170.27x = 24,081,362.55
  5. Step 5: Solve for x
    x = 24,081,362.55/7,170.27
  6. Step 6: Final answer
    x = 3,358.50

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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.