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Finding the Fourth Proportional to 11,689.77, 17,535.57 and 3,898.59

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Solution

The fourth proportional to 11,689.77, 17,535.57 and 3,898.59 is: 5,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.77 : 17,535.57 = 3,898.59 : x
  2. Step 2: Convert to fraction form
    11,689.77/17,535.57 = 3,898.59/x
  3. Step 3: Cross multiply
    11,689.77x = 17,535.57 × 3,898.59
  4. Step 4: Simplify right side
    11,689.77x = 68,363,997.85
  5. Step 5: Solve for x
    x = 68,363,997.85/11,689.77
  6. Step 6: Final answer
    x = 5,848.19

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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.