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Finding the Fourth Proportional to 10,685.71, 16,028.57 and 2,894.52

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Solution

The fourth proportional to 10,685.71, 16,028.57 and 2,894.52 is: 4,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.71 : 16,028.57 = 2,894.52 : x
  2. Step 2: Convert to fraction form
    10,685.71/16,028.57 = 2,894.52/x
  3. Step 3: Cross multiply
    10,685.71x = 16,028.57 × 2,894.52
  4. Step 4: Simplify right side
    10,685.71x = 46,395,016.44
  5. Step 5: Solve for x
    x = 46,395,016.44/10,685.71
  6. Step 6: Final answer
    x = 4,341.78

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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.