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Finding the Fourth Proportional to 10,003.81, 13,806.59 and 5,754.76

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Solution

The fourth proportional to 10,003.81, 13,806.59 and 5,754.76 is: 7,942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.81 : 13,806.59 = 5,754.76 : x
  2. Step 2: Convert to fraction form
    10,003.81/13,806.59 = 5,754.76/x
  3. Step 3: Cross multiply
    10,003.81x = 13,806.59 × 5,754.76
  4. Step 4: Simplify right side
    10,003.81x = 79,453,583.09
  5. Step 5: Solve for x
    x = 79,453,583.09/10,003.81
  6. Step 6: Final answer
    x = 7,942.34

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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.