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Finding the Fourth Proportional to 7,238.68, 10,847.09 and 5,381.08

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Solution

The fourth proportional to 7,238.68, 10,847.09 and 5,381.08 is: 8,063.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.68 : 10,847.09 = 5,381.08 : x
  2. Step 2: Convert to fraction form
    7,238.68/10,847.09 = 5,381.08/x
  3. Step 3: Cross multiply
    7,238.68x = 10,847.09 × 5,381.08
  4. Step 4: Simplify right side
    7,238.68x = 58,369,032.15
  5. Step 5: Solve for x
    x = 58,369,032.15/7,238.68
  6. Step 6: Final answer
    x = 8,063.49

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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.