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Finding the Fourth Proportional to 7,284.92, 10,053.22 and 4,141.14

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Solution

The fourth proportional to 7,284.92, 10,053.22 and 4,141.14 is: 5,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.92 : 10,053.22 = 4,141.14 : x
  2. Step 2: Convert to fraction form
    7,284.92/10,053.22 = 4,141.14/x
  3. Step 3: Cross multiply
    7,284.92x = 10,053.22 × 4,141.14
  4. Step 4: Simplify right side
    7,284.92x = 41,631,791.47
  5. Step 5: Solve for x
    x = 41,631,791.47/7,284.92
  6. Step 6: Final answer
    x = 5,714.79

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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.