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Finding the Fourth Proportional to 11,772.87, 16,239.36 and 6,989.57

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Solution

The fourth proportional to 11,772.87, 16,239.36 and 6,989.57 is: 9,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.87 : 16,239.36 = 6,989.57 : x
  2. Step 2: Convert to fraction form
    11,772.87/16,239.36 = 6,989.57/x
  3. Step 3: Cross multiply
    11,772.87x = 16,239.36 × 6,989.57
  4. Step 4: Simplify right side
    11,772.87x = 113,506,108.53
  5. Step 5: Solve for x
    x = 113,506,108.53/11,772.87
  6. Step 6: Final answer
    x = 9,641.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.