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Finding the Fourth Proportional to 7,381.92, 10,187.24 and 4,237.88

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Solution

The fourth proportional to 7,381.92, 10,187.24 and 4,237.88 is: 5,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.92 : 10,187.24 = 4,237.88 : x
  2. Step 2: Convert to fraction form
    7,381.92/10,187.24 = 4,237.88/x
  3. Step 3: Cross multiply
    7,381.92x = 10,187.24 × 4,237.88
  4. Step 4: Simplify right side
    7,381.92x = 43,172,300.65
  5. Step 5: Solve for x
    x = 43,172,300.65/7,381.92
  6. Step 6: Final answer
    x = 5,848.38

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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.