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Finding the Fourth Proportional to 7,286.08, 10,053.84 and 4,142.20

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Solution

The fourth proportional to 7,286.08, 10,053.84 and 4,142.20 is: 5,715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.08 : 10,053.84 = 4,142.20 : x
  2. Step 2: Convert to fraction form
    7,286.08/10,053.84 = 4,142.20/x
  3. Step 3: Cross multiply
    7,286.08x = 10,053.84 × 4,142.20
  4. Step 4: Simplify right side
    7,286.08x = 41,645,016.05
  5. Step 5: Solve for x
    x = 41,645,016.05/7,286.08
  6. Step 6: Final answer
    x = 5,715.70

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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.