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Finding the Fourth Proportional to 7,337.61, 10,111.90 and 5,238.09

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Solution

The fourth proportional to 7,337.61, 10,111.90 and 5,238.09 is: 7,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,337.61 : 10,111.90 = 5,238.09 : x
  2. Step 2: Convert to fraction form
    7,337.61/10,111.90 = 5,238.09/x
  3. Step 3: Cross multiply
    7,337.61x = 10,111.90 × 5,238.09
  4. Step 4: Simplify right side
    7,337.61x = 52,967,042.27
  5. Step 5: Solve for x
    x = 52,967,042.27/7,337.61
  6. Step 6: Final answer
    x = 7,218.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.