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Finding the Fourth Proportional to 7,387.14, 11,080.68 and 7,201.23

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Solution

The fourth proportional to 7,387.14, 11,080.68 and 7,201.23 is: 10,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.14 : 11,080.68 = 7,201.23 : x
  2. Step 2: Convert to fraction form
    7,387.14/11,080.68 = 7,201.23/x
  3. Step 3: Cross multiply
    7,387.14x = 11,080.68 × 7,201.23
  4. Step 4: Simplify right side
    7,387.14x = 79,794,525.24
  5. Step 5: Solve for x
    x = 79,794,525.24/7,387.14
  6. Step 6: Final answer
    x = 10,801.82

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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.