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Finding the Fourth Proportional to 11,838.72, 17,767.68 and 7,207.68

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Solution

The fourth proportional to 11,838.72, 17,767.68 and 7,207.68 is: 10,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.72 : 17,767.68 = 7,207.68 : x
  2. Step 2: Convert to fraction form
    11,838.72/17,767.68 = 7,207.68/x
  3. Step 3: Cross multiply
    11,838.72x = 17,767.68 × 7,207.68
  4. Step 4: Simplify right side
    11,838.72x = 128,063,751.78
  5. Step 5: Solve for x
    x = 128,063,751.78/11,838.72
  6. Step 6: Final answer
    x = 10,817.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.