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Finding the Fourth Proportional to 10,198.51, 15,294.82 and 2,803.21

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Solution

The fourth proportional to 10,198.51, 15,294.82 and 2,803.21 is: 4,204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.51 : 15,294.82 = 2,803.21 : x
  2. Step 2: Convert to fraction form
    10,198.51/15,294.82 = 2,803.21/x
  3. Step 3: Cross multiply
    10,198.51x = 15,294.82 × 2,803.21
  4. Step 4: Simplify right side
    10,198.51x = 42,874,508.89
  5. Step 5: Solve for x
    x = 42,874,508.89/10,198.51
  6. Step 6: Final answer
    x = 4,204.00

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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.