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Finding the Fourth Proportional to 10,698.33, 16,049.79 and 5,434.05

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Solution

The fourth proportional to 10,698.33, 16,049.79 and 5,434.05 is: 8,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.33 : 16,049.79 = 5,434.05 : x
  2. Step 2: Convert to fraction form
    10,698.33/16,049.79 = 5,434.05/x
  3. Step 3: Cross multiply
    10,698.33x = 16,049.79 × 5,434.05
  4. Step 4: Simplify right side
    10,698.33x = 87,215,361.35
  5. Step 5: Solve for x
    x = 87,215,361.35/10,698.33
  6. Step 6: Final answer
    x = 8,152.24

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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.