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Finding the Fourth Proportional to 7,201.90, 10,798.53 and 2,814.13

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Solution

The fourth proportional to 7,201.90, 10,798.53 and 2,814.13 is: 4,219.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.90 : 10,798.53 = 2,814.13 : x
  2. Step 2: Convert to fraction form
    7,201.90/10,798.53 = 2,814.13/x
  3. Step 3: Cross multiply
    7,201.90x = 10,798.53 × 2,814.13
  4. Step 4: Simplify right side
    7,201.90x = 30,388,467.23
  5. Step 5: Solve for x
    x = 30,388,467.23/7,201.90
  6. Step 6: Final answer
    x = 4,219.51

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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.