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Finding the Fourth Proportional to 7,198.74, 10,798.18 and 2,005.02

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Solution

The fourth proportional to 7,198.74, 10,798.18 and 2,005.02 is: 3,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.74 : 10,798.18 = 2,005.02 : x
  2. Step 2: Convert to fraction form
    7,198.74/10,798.18 = 2,005.02/x
  3. Step 3: Cross multiply
    7,198.74x = 10,798.18 × 2,005.02
  4. Step 4: Simplify right side
    7,198.74x = 21,650,566.86
  5. Step 5: Solve for x
    x = 21,650,566.86/7,198.74
  6. Step 6: Final answer
    x = 3,007.55

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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.