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Finding the Fourth Proportional to 10,751.70, 16,117.83 and 3,824.58

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Solution

The fourth proportional to 10,751.70, 16,117.83 and 3,824.58 is: 5,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.70 : 16,117.83 = 3,824.58 : x
  2. Step 2: Convert to fraction form
    10,751.70/16,117.83 = 3,824.58/x
  3. Step 3: Cross multiply
    10,751.70x = 16,117.83 × 3,824.58
  4. Step 4: Simplify right side
    10,751.70x = 61,643,930.26
  5. Step 5: Solve for x
    x = 61,643,930.26/10,751.70
  6. Step 6: Final answer
    x = 5,733.41

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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.