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Finding the Fourth Proportional to 10,693.64, 16,042 and 5,756.60

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Solution

The fourth proportional to 10,693.64, 16,042 and 5,756.60 is: 8,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.64 : 16,042 = 5,756.60 : x
  2. Step 2: Convert to fraction form
    10,693.64/16,042 = 5,756.60/x
  3. Step 3: Cross multiply
    10,693.64x = 16,042 × 5,756.60
  4. Step 4: Simplify right side
    10,693.64x = 92,347,377.20
  5. Step 5: Solve for x
    x = 92,347,377.20/10,693.64
  6. Step 6: Final answer
    x = 8,635.73

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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.