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Finding the Fourth Proportional to 11,559.98, 17,326.74 and 5,639.96

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Solution

The fourth proportional to 11,559.98, 17,326.74 and 5,639.96 is: 8,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.98 : 17,326.74 = 5,639.96 : x
  2. Step 2: Convert to fraction form
    11,559.98/17,326.74 = 5,639.96/x
  3. Step 3: Cross multiply
    11,559.98x = 17,326.74 × 5,639.96
  4. Step 4: Simplify right side
    11,559.98x = 97,722,120.53
  5. Step 5: Solve for x
    x = 97,722,120.53/11,559.98
  6. Step 6: Final answer
    x = 8,453.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.