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Finding the Fourth Proportional to 7,023.82, 10,532.26 and 2,342.22

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Solution

The fourth proportional to 7,023.82, 10,532.26 and 2,342.22 is: 3,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.82 : 10,532.26 = 2,342.22 : x
  2. Step 2: Convert to fraction form
    7,023.82/10,532.26 = 2,342.22/x
  3. Step 3: Cross multiply
    7,023.82x = 10,532.26 × 2,342.22
  4. Step 4: Simplify right side
    7,023.82x = 24,668,870.02
  5. Step 5: Solve for x
    x = 24,668,870.02/7,023.82
  6. Step 6: Final answer
    x = 3,512.17

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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.