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Finding the Fourth Proportional to 10,808.50, 16,215.04 and 3,415.08

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Solution

The fourth proportional to 10,808.50, 16,215.04 and 3,415.08 is: 5,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.50 : 16,215.04 = 3,415.08 : x
  2. Step 2: Convert to fraction form
    10,808.50/16,215.04 = 3,415.08/x
  3. Step 3: Cross multiply
    10,808.50x = 16,215.04 × 3,415.08
  4. Step 4: Simplify right side
    10,808.50x = 55,375,658.80
  5. Step 5: Solve for x
    x = 55,375,658.80/10,808.50
  6. Step 6: Final answer
    x = 5,123.34

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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.