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Finding the Fourth Proportional to 7,238.84, 10,863.48 and 3,731.65

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Solution

The fourth proportional to 7,238.84, 10,863.48 and 3,731.65 is: 5,600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.84 : 10,863.48 = 3,731.65 : x
  2. Step 2: Convert to fraction form
    7,238.84/10,863.48 = 3,731.65/x
  3. Step 3: Cross multiply
    7,238.84x = 10,863.48 × 3,731.65
  4. Step 4: Simplify right side
    7,238.84x = 40,538,705.14
  5. Step 5: Solve for x
    x = 40,538,705.14/7,238.84
  6. Step 6: Final answer
    x = 5,600.17

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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.