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Finding the Fourth Proportional to 8,495.38, 11,723.64 and 5,137.53

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Solution

The fourth proportional to 8,495.38, 11,723.64 and 5,137.53 is: 7,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.38 : 11,723.64 = 5,137.53 : x
  2. Step 2: Convert to fraction form
    8,495.38/11,723.64 = 5,137.53/x
  3. Step 3: Cross multiply
    8,495.38x = 11,723.64 × 5,137.53
  4. Step 4: Simplify right side
    8,495.38x = 60,230,488.98
  5. Step 5: Solve for x
    x = 60,230,488.98/8,495.38
  6. Step 6: Final answer
    x = 7,089.79

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Why These Related Problems?

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