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Finding the Fourth Proportional to 10,689.18, 16,036 and 3,668.92

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Solution

The fourth proportional to 10,689.18, 16,036 and 3,668.92 is: 5,504.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.18 : 16,036 = 3,668.92 : x
  2. Step 2: Convert to fraction form
    10,689.18/16,036 = 3,668.92/x
  3. Step 3: Cross multiply
    10,689.18x = 16,036 × 3,668.92
  4. Step 4: Simplify right side
    10,689.18x = 58,834,801.12
  5. Step 5: Solve for x
    x = 58,834,801.12/10,689.18
  6. Step 6: Final answer
    x = 5,504.15

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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.