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Finding the Fourth Proportional to 7,287.74, 10,056.83 and 4,101.10

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Solution

The fourth proportional to 7,287.74, 10,056.83 and 4,101.10 is: 5,659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.74 : 10,056.83 = 4,101.10 : x
  2. Step 2: Convert to fraction form
    7,287.74/10,056.83 = 4,101.10/x
  3. Step 3: Cross multiply
    7,287.74x = 10,056.83 × 4,101.10
  4. Step 4: Simplify right side
    7,287.74x = 41,244,019.87
  5. Step 5: Solve for x
    x = 41,244,019.87/7,287.74
  6. Step 6: Final answer
    x = 5,659.37

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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.