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Finding the Fourth Proportional to 7,496.93, 11,231.09 and 4,200.05

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Solution

The fourth proportional to 7,496.93, 11,231.09 and 4,200.05 is: 6,292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.93 : 11,231.09 = 4,200.05 : x
  2. Step 2: Convert to fraction form
    7,496.93/11,231.09 = 4,200.05/x
  3. Step 3: Cross multiply
    7,496.93x = 11,231.09 × 4,200.05
  4. Step 4: Simplify right side
    7,496.93x = 47,171,162.38
  5. Step 5: Solve for x
    x = 47,171,162.38/7,496.93
  6. Step 6: Final answer
    x = 6,292.06

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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.