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Finding the Fourth Proportional to 10,695.31, 16,045.19 and 3,299.60

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Solution

The fourth proportional to 10,695.31, 16,045.19 and 3,299.60 is: 4,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.31 : 16,045.19 = 3,299.60 : x
  2. Step 2: Convert to fraction form
    10,695.31/16,045.19 = 3,299.60/x
  3. Step 3: Cross multiply
    10,695.31x = 16,045.19 × 3,299.60
  4. Step 4: Simplify right side
    10,695.31x = 52,942,744.91
  5. Step 5: Solve for x
    x = 52,942,744.91/10,695.31
  6. Step 6: Final answer
    x = 4,950.09

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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.