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Finding the Fourth Proportional to 11,906.52, 16,427.26 and 6,870.08

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Solution

The fourth proportional to 11,906.52, 16,427.26 and 6,870.08 is: 9,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.52 : 16,427.26 = 6,870.08 : x
  2. Step 2: Convert to fraction form
    11,906.52/16,427.26 = 6,870.08/x
  3. Step 3: Cross multiply
    11,906.52x = 16,427.26 × 6,870.08
  4. Step 4: Simplify right side
    11,906.52x = 112,856,590.38
  5. Step 5: Solve for x
    x = 112,856,590.38/11,906.52
  6. Step 6: Final answer
    x = 9,478.55

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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.