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Finding the Fourth Proportional to 7,770.40, 10,723.17 and 4,233.67

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Solution

The fourth proportional to 7,770.40, 10,723.17 and 4,233.67 is: 5,842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.40 : 10,723.17 = 4,233.67 : x
  2. Step 2: Convert to fraction form
    7,770.40/10,723.17 = 4,233.67/x
  3. Step 3: Cross multiply
    7,770.40x = 10,723.17 × 4,233.67
  4. Step 4: Simplify right side
    7,770.40x = 45,398,363.13
  5. Step 5: Solve for x
    x = 45,398,363.13/7,770.40
  6. Step 6: Final answer
    x = 5,842.47

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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.