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Finding the Fourth Proportional to 7,381.91, 10,187.48 and 4,238.57

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Solution

The fourth proportional to 7,381.91, 10,187.48 and 4,238.57 is: 5,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.91 : 10,187.48 = 4,238.57 : x
  2. Step 2: Convert to fraction form
    7,381.91/10,187.48 = 4,238.57/x
  3. Step 3: Cross multiply
    7,381.91x = 10,187.48 × 4,238.57
  4. Step 4: Simplify right side
    7,381.91x = 43,180,306.76
  5. Step 5: Solve for x
    x = 43,180,306.76/7,381.91
  6. Step 6: Final answer
    x = 5,849.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.