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Finding the Fourth Proportional to 11,869.38, 16,375.91 and 7,087.95

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Solution

The fourth proportional to 11,869.38, 16,375.91 and 7,087.95 is: 9,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.38 : 16,375.91 = 7,087.95 : x
  2. Step 2: Convert to fraction form
    11,869.38/16,375.91 = 7,087.95/x
  3. Step 3: Cross multiply
    11,869.38x = 16,375.91 × 7,087.95
  4. Step 4: Simplify right side
    11,869.38x = 116,071,595.84
  5. Step 5: Solve for x
    x = 116,071,595.84/11,869.38
  6. Step 6: Final answer
    x = 9,779.08

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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.