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Finding the Fourth Proportional to 7,309.34, 10,086.85 and 3,952.16

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Solution

The fourth proportional to 7,309.34, 10,086.85 and 3,952.16 is: 5,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.34 : 10,086.85 = 3,952.16 : x
  2. Step 2: Convert to fraction form
    7,309.34/10,086.85 = 3,952.16/x
  3. Step 3: Cross multiply
    7,309.34x = 10,086.85 × 3,952.16
  4. Step 4: Simplify right side
    7,309.34x = 39,864,825.34
  5. Step 5: Solve for x
    x = 39,864,825.34/7,309.34
  6. Step 6: Final answer
    x = 5,453.96

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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.