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Finding the Fourth Proportional to 7,262.89, 10,023.01 and 5,142.22

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Solution

The fourth proportional to 7,262.89, 10,023.01 and 5,142.22 is: 7,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.89 : 10,023.01 = 5,142.22 : x
  2. Step 2: Convert to fraction form
    7,262.89/10,023.01 = 5,142.22/x
  3. Step 3: Cross multiply
    7,262.89x = 10,023.01 × 5,142.22
  4. Step 4: Simplify right side
    7,262.89x = 51,540,484.57
  5. Step 5: Solve for x
    x = 51,540,484.57/7,262.89
  6. Step 6: Final answer
    x = 7,096.42

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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.