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Finding the Fourth Proportional to 7,223.42, 10,817.82 and 3,928.34

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Solution

The fourth proportional to 7,223.42, 10,817.82 and 3,928.34 is: 5,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.42 : 10,817.82 = 3,928.34 : x
  2. Step 2: Convert to fraction form
    7,223.42/10,817.82 = 3,928.34/x
  3. Step 3: Cross multiply
    7,223.42x = 10,817.82 × 3,928.34
  4. Step 4: Simplify right side
    7,223.42x = 42,496,102.06
  5. Step 5: Solve for x
    x = 42,496,102.06/7,223.42
  6. Step 6: Final answer
    x = 5,883.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.