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Finding the Fourth Proportional to 10,698.39, 16,046.69 and 4,200.12

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Solution

The fourth proportional to 10,698.39, 16,046.69 and 4,200.12 is: 6,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.39 : 16,046.69 = 4,200.12 : x
  2. Step 2: Convert to fraction form
    10,698.39/16,046.69 = 4,200.12/x
  3. Step 3: Cross multiply
    10,698.39x = 16,046.69 × 4,200.12
  4. Step 4: Simplify right side
    10,698.39x = 67,398,002.60
  5. Step 5: Solve for x
    x = 67,398,002.60/10,698.39
  6. Step 6: Final answer
    x = 6,299.83

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