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Finding the Fourth Proportional to 10,689.20, 16,032.29 and 3,669.09

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Solution

The fourth proportional to 10,689.20, 16,032.29 and 3,669.09 is: 5,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.20 : 16,032.29 = 3,669.09 : x
  2. Step 2: Convert to fraction form
    10,689.20/16,032.29 = 3,669.09/x
  3. Step 3: Cross multiply
    10,689.20x = 16,032.29 × 3,669.09
  4. Step 4: Simplify right side
    10,689.20x = 58,823,914.92
  5. Step 5: Solve for x
    x = 58,823,914.92/10,689.20
  6. Step 6: Final answer
    x = 5,503.12

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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.