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Finding the Fourth Proportional to 8,131.68, 11,221.56 and 5,337

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Solution

The fourth proportional to 8,131.68, 11,221.56 and 5,337 is: 7,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.68 : 11,221.56 = 5,337 : x
  2. Step 2: Convert to fraction form
    8,131.68/11,221.56 = 5,337/x
  3. Step 3: Cross multiply
    8,131.68x = 11,221.56 × 5,337
  4. Step 4: Simplify right side
    8,131.68x = 59,889,465.72
  5. Step 5: Solve for x
    x = 59,889,465.72/8,131.68
  6. Step 6: Final answer
    x = 7,364.96

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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.