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Finding the Fourth Proportional to 11,595.82, 16,001.94 and 6,880

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Solution

The fourth proportional to 11,595.82, 16,001.94 and 6,880 is: 9,494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.82 : 16,001.94 = 6,880 : x
  2. Step 2: Convert to fraction form
    11,595.82/16,001.94 = 6,880/x
  3. Step 3: Cross multiply
    11,595.82x = 16,001.94 × 6,880
  4. Step 4: Simplify right side
    11,595.82x = 110,093,347.20
  5. Step 5: Solve for x
    x = 110,093,347.20/11,595.82
  6. Step 6: Final answer
    x = 9,494.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.