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Finding the Fourth Proportional to 10,574.36, 15,861.78 and 2,783.42

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Solution

The fourth proportional to 10,574.36, 15,861.78 and 2,783.42 is: 4,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.36 : 15,861.78 = 2,783.42 : x
  2. Step 2: Convert to fraction form
    10,574.36/15,861.78 = 2,783.42/x
  3. Step 3: Cross multiply
    10,574.36x = 15,861.78 × 2,783.42
  4. Step 4: Simplify right side
    10,574.36x = 44,149,995.69
  5. Step 5: Solve for x
    x = 44,149,995.69/10,574.36
  6. Step 6: Final answer
    x = 4,175.19

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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.