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Finding the Fourth Proportional to 7,769.87, 10,722.32 and 4,233.08

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Solution

The fourth proportional to 7,769.87, 10,722.32 and 4,233.08 is: 5,841.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.87 : 10,722.32 = 4,233.08 : x
  2. Step 2: Convert to fraction form
    7,769.87/10,722.32 = 4,233.08/x
  3. Step 3: Cross multiply
    7,769.87x = 10,722.32 × 4,233.08
  4. Step 4: Simplify right side
    7,769.87x = 45,388,459.86
  5. Step 5: Solve for x
    x = 45,388,459.86/7,769.87
  6. Step 6: Final answer
    x = 5,841.60

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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.