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Finding the Fourth Proportional to 10,015.05, 13,806.04 and 7,883.76

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Solution

The fourth proportional to 10,015.05, 13,806.04 and 7,883.76 is: 10,867.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.05 : 13,806.04 = 7,883.76 : x
  2. Step 2: Convert to fraction form
    10,015.05/13,806.04 = 7,883.76/x
  3. Step 3: Cross multiply
    10,015.05x = 13,806.04 × 7,883.76
  4. Step 4: Simplify right side
    10,015.05x = 108,843,505.91
  5. Step 5: Solve for x
    x = 108,843,505.91/10,015.05
  6. Step 6: Final answer
    x = 10,867.99

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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.