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Finding the Fourth Proportional to 7,486.02, 11,229.03 and 4,201.42

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Solution

The fourth proportional to 7,486.02, 11,229.03 and 4,201.42 is: 6,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.02 : 11,229.03 = 4,201.42 : x
  2. Step 2: Convert to fraction form
    7,486.02/11,229.03 = 4,201.42/x
  3. Step 3: Cross multiply
    7,486.02x = 11,229.03 × 4,201.42
  4. Step 4: Simplify right side
    7,486.02x = 47,177,864.20
  5. Step 5: Solve for x
    x = 47,177,864.20/7,486.02
  6. Step 6: Final answer
    x = 6,302.13

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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.