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Finding the Fourth Proportional to 10,687.80, 16,029.60 and 2,894.76

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Solution

The fourth proportional to 10,687.80, 16,029.60 and 2,894.76 is: 4,341.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.80 : 16,029.60 = 2,894.76 : x
  2. Step 2: Convert to fraction form
    10,687.80/16,029.60 = 2,894.76/x
  3. Step 3: Cross multiply
    10,687.80x = 16,029.60 × 2,894.76
  4. Step 4: Simplify right side
    10,687.80x = 46,401,844.90
  5. Step 5: Solve for x
    x = 46,401,844.90/10,687.80
  6. Step 6: Final answer
    x = 4,341.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.