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Finding the Fourth Proportional to 10,198.56, 15,298.01 and 2,802.98

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Solution

The fourth proportional to 10,198.56, 15,298.01 and 2,802.98 is: 4,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.56 : 15,298.01 = 2,802.98 : x
  2. Step 2: Convert to fraction form
    10,198.56/15,298.01 = 2,802.98/x
  3. Step 3: Cross multiply
    10,198.56x = 15,298.01 × 2,802.98
  4. Step 4: Simplify right side
    10,198.56x = 42,879,946.59
  5. Step 5: Solve for x
    x = 42,879,946.59/10,198.56
  6. Step 6: Final answer
    x = 4,204.51

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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.