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Finding the Fourth Proportional to 10,199.28, 15,297.18 and 2,802

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Solution

The fourth proportional to 10,199.28, 15,297.18 and 2,802 is: 4,202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.28 : 15,297.18 = 2,802 : x
  2. Step 2: Convert to fraction form
    10,199.28/15,297.18 = 2,802/x
  3. Step 3: Cross multiply
    10,199.28x = 15,297.18 × 2,802
  4. Step 4: Simplify right side
    10,199.28x = 42,862,698.36
  5. Step 5: Solve for x
    x = 42,862,698.36/10,199.28
  6. Step 6: Final answer
    x = 4,202.52

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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.