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Finding the Fourth Proportional to 10,574.44, 15,859.86 and 2,783.32

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Solution

The fourth proportional to 10,574.44, 15,859.86 and 2,783.32 is: 4,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.44 : 15,859.86 = 2,783.32 : x
  2. Step 2: Convert to fraction form
    10,574.44/15,859.86 = 2,783.32/x
  3. Step 3: Cross multiply
    10,574.44x = 15,859.86 × 2,783.32
  4. Step 4: Simplify right side
    10,574.44x = 44,143,065.54
  5. Step 5: Solve for x
    x = 44,143,065.54/10,574.44
  6. Step 6: Final answer
    x = 4,174.51

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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.