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Finding the Fourth Proportional to 8,495.68, 11,722.49 and 5,138.02

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Solution

The fourth proportional to 8,495.68, 11,722.49 and 5,138.02 is: 7,089.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.68 : 11,722.49 = 5,138.02 : x
  2. Step 2: Convert to fraction form
    8,495.68/11,722.49 = 5,138.02/x
  3. Step 3: Cross multiply
    8,495.68x = 11,722.49 × 5,138.02
  4. Step 4: Simplify right side
    8,495.68x = 60,230,362.38
  5. Step 5: Solve for x
    x = 60,230,362.38/8,495.68
  6. Step 6: Final answer
    x = 7,089.53

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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.