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Finding the Fourth Proportional to 7,141.40, 10,713.40 and 2,462.08

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Solution

The fourth proportional to 7,141.40, 10,713.40 and 2,462.08 is: 3,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.40 : 10,713.40 = 2,462.08 : x
  2. Step 2: Convert to fraction form
    7,141.40/10,713.40 = 2,462.08/x
  3. Step 3: Cross multiply
    7,141.40x = 10,713.40 × 2,462.08
  4. Step 4: Simplify right side
    7,141.40x = 26,377,247.87
  5. Step 5: Solve for x
    x = 26,377,247.87/7,141.40
  6. Step 6: Final answer
    x = 3,693.57

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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.