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Finding the Fourth Proportional to 10,078.38, 13,890.06 and 8,196.18

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Solution

The fourth proportional to 10,078.38, 13,890.06 and 8,196.18 is: 11,296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.38 : 13,890.06 = 8,196.18 : x
  2. Step 2: Convert to fraction form
    10,078.38/13,890.06 = 8,196.18/x
  3. Step 3: Cross multiply
    10,078.38x = 13,890.06 × 8,196.18
  4. Step 4: Simplify right side
    10,078.38x = 113,845,431.97
  5. Step 5: Solve for x
    x = 113,845,431.97/10,078.38
  6. Step 6: Final answer
    x = 11,296.01

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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.