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Finding the Fourth Proportional to 7,266.96, 10,026.92 and 4,122.32

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Solution

The fourth proportional to 7,266.96, 10,026.92 and 4,122.32 is: 5,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.96 : 10,026.92 = 4,122.32 : x
  2. Step 2: Convert to fraction form
    7,266.96/10,026.92 = 4,122.32/x
  3. Step 3: Cross multiply
    7,266.96x = 10,026.92 × 4,122.32
  4. Step 4: Simplify right side
    7,266.96x = 41,334,172.85
  5. Step 5: Solve for x
    x = 41,334,172.85/7,266.96
  6. Step 6: Final answer
    x = 5,687.96

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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.