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Finding the Fourth Proportional to 10,198.01, 15,294.07 and 2,802.71

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Solution

The fourth proportional to 10,198.01, 15,294.07 and 2,802.71 is: 4,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.01 : 15,294.07 = 2,802.71 : x
  2. Step 2: Convert to fraction form
    10,198.01/15,294.07 = 2,802.71/x
  3. Step 3: Cross multiply
    10,198.01x = 15,294.07 × 2,802.71
  4. Step 4: Simplify right side
    10,198.01x = 42,864,759.45
  5. Step 5: Solve for x
    x = 42,864,759.45/10,198.01
  6. Step 6: Final answer
    x = 4,203.25

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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.