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Finding the Fourth Proportional to 10,696.96, 16,048.44 and 3,677.88

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Solution

The fourth proportional to 10,696.96, 16,048.44 and 3,677.88 is: 5,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.96 : 16,048.44 = 3,677.88 : x
  2. Step 2: Convert to fraction form
    10,696.96/16,048.44 = 3,677.88/x
  3. Step 3: Cross multiply
    10,696.96x = 16,048.44 × 3,677.88
  4. Step 4: Simplify right side
    10,696.96x = 59,024,236.51
  5. Step 5: Solve for x
    x = 59,024,236.51/10,696.96
  6. Step 6: Final answer
    x = 5,517.85

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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.