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Finding the Fourth Proportional to 10,696.64, 16,046.50 and 5,759.60

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Solution

The fourth proportional to 10,696.64, 16,046.50 and 5,759.60 is: 8,640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.64 : 16,046.50 = 5,759.60 : x
  2. Step 2: Convert to fraction form
    10,696.64/16,046.50 = 5,759.60/x
  3. Step 3: Cross multiply
    10,696.64x = 16,046.50 × 5,759.60
  4. Step 4: Simplify right side
    10,696.64x = 92,421,421.40
  5. Step 5: Solve for x
    x = 92,421,421.40/10,696.64
  6. Step 6: Final answer
    x = 8,640.23

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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.