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Finding the Fourth Proportional to 10,200.44, 15,297.84 and 2,803.14

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Solution

The fourth proportional to 10,200.44, 15,297.84 and 2,803.14 is: 4,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.44 : 15,297.84 = 2,803.14 : x
  2. Step 2: Convert to fraction form
    10,200.44/15,297.84 = 2,803.14/x
  3. Step 3: Cross multiply
    10,200.44x = 15,297.84 × 2,803.14
  4. Step 4: Simplify right side
    10,200.44x = 42,881,987.22
  5. Step 5: Solve for x
    x = 42,881,987.22/10,200.44
  6. Step 6: Final answer
    x = 4,203.94

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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.