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Finding the Fourth Proportional to 11,484.88, 17,227.14 and 6,544

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Solution

The fourth proportional to 11,484.88, 17,227.14 and 6,544 is: 9,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.88 : 17,227.14 = 6,544 : x
  2. Step 2: Convert to fraction form
    11,484.88/17,227.14 = 6,544/x
  3. Step 3: Cross multiply
    11,484.88x = 17,227.14 × 6,544
  4. Step 4: Simplify right side
    11,484.88x = 112,734,404.16
  5. Step 5: Solve for x
    x = 112,734,404.16/11,484.88
  6. Step 6: Final answer
    x = 9,815.90

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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.