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Finding the Fourth Proportional to 11,261.68, 16,886.78 and 6,590.82

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Solution

The fourth proportional to 11,261.68, 16,886.78 and 6,590.82 is: 9,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,261.68 : 16,886.78 = 6,590.82 : x
  2. Step 2: Convert to fraction form
    11,261.68/16,886.78 = 6,590.82/x
  3. Step 3: Cross multiply
    11,261.68x = 16,886.78 × 6,590.82
  4. Step 4: Simplify right side
    11,261.68x = 111,297,727.36
  5. Step 5: Solve for x
    x = 111,297,727.36/11,261.68
  6. Step 6: Final answer
    x = 9,882.87

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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.