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Finding the Fourth Proportional to 7,287.41, 10,054.11 and 4,100.20

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Solution

The fourth proportional to 7,287.41, 10,054.11 and 4,100.20 is: 5,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.41 : 10,054.11 = 4,100.20 : x
  2. Step 2: Convert to fraction form
    7,287.41/10,054.11 = 4,100.20/x
  3. Step 3: Cross multiply
    7,287.41x = 10,054.11 × 4,100.20
  4. Step 4: Simplify right side
    7,287.41x = 41,223,861.82
  5. Step 5: Solve for x
    x = 41,223,861.82/7,287.41
  6. Step 6: Final answer
    x = 5,656.86

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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.