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Finding the Fourth Proportional to 11,326.76, 16,991.57 and 6,585.11

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Solution

The fourth proportional to 11,326.76, 16,991.57 and 6,585.11 is: 9,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,326.76 : 16,991.57 = 6,585.11 : x
  2. Step 2: Convert to fraction form
    11,326.76/16,991.57 = 6,585.11/x
  3. Step 3: Cross multiply
    11,326.76x = 16,991.57 × 6,585.11
  4. Step 4: Simplify right side
    11,326.76x = 111,891,239.64
  5. Step 5: Solve for x
    x = 111,891,239.64/11,326.76
  6. Step 6: Final answer
    x = 9,878.49

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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.