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Finding the Fourth Proportional to 11,867.88, 16,377.01 and 6,562.38

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Solution

The fourth proportional to 11,867.88, 16,377.01 and 6,562.38 is: 9,055.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.88 : 16,377.01 = 6,562.38 : x
  2. Step 2: Convert to fraction form
    11,867.88/16,377.01 = 6,562.38/x
  3. Step 3: Cross multiply
    11,867.88x = 16,377.01 × 6,562.38
  4. Step 4: Simplify right side
    11,867.88x = 107,472,162.88
  5. Step 5: Solve for x
    x = 107,472,162.88/11,867.88
  6. Step 6: Final answer
    x = 9,055.72

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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.