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Finding the Fourth Proportional to 7,769.96, 10,722.74 and 4,233.36

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Solution

The fourth proportional to 7,769.96, 10,722.74 and 4,233.36 is: 5,842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.96 : 10,722.74 = 4,233.36 : x
  2. Step 2: Convert to fraction form
    7,769.96/10,722.74 = 4,233.36/x
  3. Step 3: Cross multiply
    7,769.96x = 10,722.74 × 4,233.36
  4. Step 4: Simplify right side
    7,769.96x = 45,393,218.61
  5. Step 5: Solve for x
    x = 45,393,218.61/7,769.96
  6. Step 6: Final answer
    x = 5,842.14

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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.