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Finding the Fourth Proportional to 7,402.73, 11,104.22 and 2,138.13

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Solution

The fourth proportional to 7,402.73, 11,104.22 and 2,138.13 is: 3,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.73 : 11,104.22 = 2,138.13 : x
  2. Step 2: Convert to fraction form
    7,402.73/11,104.22 = 2,138.13/x
  3. Step 3: Cross multiply
    7,402.73x = 11,104.22 × 2,138.13
  4. Step 4: Simplify right side
    7,402.73x = 23,742,271.25
  5. Step 5: Solve for x
    x = 23,742,271.25/7,402.73
  6. Step 6: Final answer
    x = 3,207.23

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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.