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Finding the Fourth Proportional to 7,402.38, 11,105.39 and 2,208.25

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Solution

The fourth proportional to 7,402.38, 11,105.39 and 2,208.25 is: 3,312.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.38 : 11,105.39 = 2,208.25 : x
  2. Step 2: Convert to fraction form
    7,402.38/11,105.39 = 2,208.25/x
  3. Step 3: Cross multiply
    7,402.38x = 11,105.39 × 2,208.25
  4. Step 4: Simplify right side
    7,402.38x = 24,523,477.47
  5. Step 5: Solve for x
    x = 24,523,477.47/7,402.38
  6. Step 6: Final answer
    x = 3,312.92

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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.