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Finding the Fourth Proportional to 7,342.57, 11,013.87 and 5,161.06

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Solution

The fourth proportional to 7,342.57, 11,013.87 and 5,161.06 is: 7,741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.57 : 11,013.87 = 5,161.06 : x
  2. Step 2: Convert to fraction form
    7,342.57/11,013.87 = 5,161.06/x
  3. Step 3: Cross multiply
    7,342.57x = 11,013.87 × 5,161.06
  4. Step 4: Simplify right side
    7,342.57x = 56,843,243.90
  5. Step 5: Solve for x
    x = 56,843,243.90/7,342.57
  6. Step 6: Final answer
    x = 7,741.60

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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.