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Finding the Fourth Proportional to 10,198.58, 15,295.65 and 2,802.27

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Solution

The fourth proportional to 10,198.58, 15,295.65 and 2,802.27 is: 4,202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.58 : 15,295.65 = 2,802.27 : x
  2. Step 2: Convert to fraction form
    10,198.58/15,295.65 = 2,802.27/x
  3. Step 3: Cross multiply
    10,198.58x = 15,295.65 × 2,802.27
  4. Step 4: Simplify right side
    10,198.58x = 42,862,541.13
  5. Step 5: Solve for x
    x = 42,862,541.13/10,198.58
  6. Step 6: Final answer
    x = 4,202.80

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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.