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Finding the Fourth Proportional to 10,103.76, 13,896.92 and 8,109.95

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Solution

The fourth proportional to 10,103.76, 13,896.92 and 8,109.95 is: 11,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.76 : 13,896.92 = 8,109.95 : x
  2. Step 2: Convert to fraction form
    10,103.76/13,896.92 = 8,109.95/x
  3. Step 3: Cross multiply
    10,103.76x = 13,896.92 × 8,109.95
  4. Step 4: Simplify right side
    10,103.76x = 112,703,277.14
  5. Step 5: Solve for x
    x = 112,703,277.14/10,103.76
  6. Step 6: Final answer
    x = 11,154.59

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