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Finding the Fourth Proportional to 10,769.88, 14,858.22 and 7,944.04

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Solution

The fourth proportional to 10,769.88, 14,858.22 and 7,944.04 is: 10,959.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.88 : 14,858.22 = 7,944.04 : x
  2. Step 2: Convert to fraction form
    10,769.88/14,858.22 = 7,944.04/x
  3. Step 3: Cross multiply
    10,769.88x = 14,858.22 × 7,944.04
  4. Step 4: Simplify right side
    10,769.88x = 118,034,294.01
  5. Step 5: Solve for x
    x = 118,034,294.01/10,769.88
  6. Step 6: Final answer
    x = 10,959.67

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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.