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Finding the Fourth Proportional to 8,986.49, 13,409.44 and 8,052.53

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Solution

The fourth proportional to 8,986.49, 13,409.44 and 8,052.53 is: 12,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,986.49 : 13,409.44 = 8,052.53 : x
  2. Step 2: Convert to fraction form
    8,986.49/13,409.44 = 8,052.53/x
  3. Step 3: Cross multiply
    8,986.49x = 13,409.44 × 8,052.53
  4. Step 4: Simplify right side
    8,986.49x = 107,979,917.88
  5. Step 5: Solve for x
    x = 107,979,917.88/8,986.49
  6. Step 6: Final answer
    x = 12,015.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.