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Finding the Fourth Proportional to 7,238.67, 10,864.80 and 3,731.10

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Solution

The fourth proportional to 7,238.67, 10,864.80 and 3,731.10 is: 5,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.67 : 10,864.80 = 3,731.10 : x
  2. Step 2: Convert to fraction form
    7,238.67/10,864.80 = 3,731.10/x
  3. Step 3: Cross multiply
    7,238.67x = 10,864.80 × 3,731.10
  4. Step 4: Simplify right side
    7,238.67x = 40,537,655.28
  5. Step 5: Solve for x
    x = 40,537,655.28/7,238.67
  6. Step 6: Final answer
    x = 5,600.15

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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.