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Finding the Fourth Proportional to 7,026.38, 10,540.17 and 1,832.25

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Solution

The fourth proportional to 7,026.38, 10,540.17 and 1,832.25 is: 2,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.38 : 10,540.17 = 1,832.25 : x
  2. Step 2: Convert to fraction form
    7,026.38/10,540.17 = 1,832.25/x
  3. Step 3: Cross multiply
    7,026.38x = 10,540.17 × 1,832.25
  4. Step 4: Simplify right side
    7,026.38x = 19,312,226.48
  5. Step 5: Solve for x
    x = 19,312,226.48/7,026.38
  6. Step 6: Final answer
    x = 2,748.53

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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.