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Finding the Fourth Proportional to 7,729.34, 10,664.70 and 5,216.11

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Solution

The fourth proportional to 7,729.34, 10,664.70 and 5,216.11 is: 7,197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.34 : 10,664.70 = 5,216.11 : x
  2. Step 2: Convert to fraction form
    7,729.34/10,664.70 = 5,216.11/x
  3. Step 3: Cross multiply
    7,729.34x = 10,664.70 × 5,216.11
  4. Step 4: Simplify right side
    7,729.34x = 55,628,202.09
  5. Step 5: Solve for x
    x = 55,628,202.09/7,729.34
  6. Step 6: Final answer
    x = 7,197.02

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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.