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Finding the Fourth Proportional to 7,471.16, 11,191.71 and 3,462.93

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Solution

The fourth proportional to 7,471.16, 11,191.71 and 3,462.93 is: 5,187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.16 : 11,191.71 = 3,462.93 : x
  2. Step 2: Convert to fraction form
    7,471.16/11,191.71 = 3,462.93/x
  3. Step 3: Cross multiply
    7,471.16x = 11,191.71 × 3,462.93
  4. Step 4: Simplify right side
    7,471.16x = 38,756,121.30
  5. Step 5: Solve for x
    x = 38,756,121.30/7,471.16
  6. Step 6: Final answer
    x = 5,187.43

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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.