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Finding the Fourth Proportional to 10,685.89, 16,028.77 and 2,894.70

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Solution

The fourth proportional to 10,685.89, 16,028.77 and 2,894.70 is: 4,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.89 : 16,028.77 = 2,894.70 : x
  2. Step 2: Convert to fraction form
    10,685.89/16,028.77 = 2,894.70/x
  3. Step 3: Cross multiply
    10,685.89x = 16,028.77 × 2,894.70
  4. Step 4: Simplify right side
    10,685.89x = 46,398,483.41
  5. Step 5: Solve for x
    x = 46,398,483.41/10,685.89
  6. Step 6: Final answer
    x = 4,342.03

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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.