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Finding the Fourth Proportional to 7,542.31, 11,313.47 and 6,920.23

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Solution

The fourth proportional to 7,542.31, 11,313.47 and 6,920.23 is: 10,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.31 : 11,313.47 = 6,920.23 : x
  2. Step 2: Convert to fraction form
    7,542.31/11,313.47 = 6,920.23/x
  3. Step 3: Cross multiply
    7,542.31x = 11,313.47 × 6,920.23
  4. Step 4: Simplify right side
    7,542.31x = 78,291,814.50
  5. Step 5: Solve for x
    x = 78,291,814.50/7,542.31
  6. Step 6: Final answer
    x = 10,380.35

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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.