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Finding the Fourth Proportional to 7,770.08, 10,722.82 and 4,233.29

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Solution

The fourth proportional to 7,770.08, 10,722.82 and 4,233.29 is: 5,841.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.08 : 10,722.82 = 4,233.29 : x
  2. Step 2: Convert to fraction form
    7,770.08/10,722.82 = 4,233.29/x
  3. Step 3: Cross multiply
    7,770.08x = 10,722.82 × 4,233.29
  4. Step 4: Simplify right side
    7,770.08x = 45,392,742.48
  5. Step 5: Solve for x
    x = 45,392,742.48/7,770.08
  6. Step 6: Final answer
    x = 5,841.99

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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.