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Finding the Fourth Proportional to 7,122.42, 10,684.17 and 1,928.22

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Solution

The fourth proportional to 7,122.42, 10,684.17 and 1,928.22 is: 2,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.42 : 10,684.17 = 1,928.22 : x
  2. Step 2: Convert to fraction form
    7,122.42/10,684.17 = 1,928.22/x
  3. Step 3: Cross multiply
    7,122.42x = 10,684.17 × 1,928.22
  4. Step 4: Simplify right side
    7,122.42x = 20,601,430.28
  5. Step 5: Solve for x
    x = 20,601,430.28/7,122.42
  6. Step 6: Final answer
    x = 2,892.48

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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.