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Finding the Fourth Proportional to 10,698.36, 16,049.88 and 3,678.09

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Solution

The fourth proportional to 10,698.36, 16,049.88 and 3,678.09 is: 5,517.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.36 : 16,049.88 = 3,678.09 : x
  2. Step 2: Convert to fraction form
    10,698.36/16,049.88 = 3,678.09/x
  3. Step 3: Cross multiply
    10,698.36x = 16,049.88 × 3,678.09
  4. Step 4: Simplify right side
    10,698.36x = 59,032,903.13
  5. Step 5: Solve for x
    x = 59,032,903.13/10,698.36
  6. Step 6: Final answer
    x = 5,517.94

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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.