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Finding the Fourth Proportional to 8,342.52, 11,516.22 and 5,200.26

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Solution

The fourth proportional to 8,342.52, 11,516.22 and 5,200.26 is: 7,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.52 : 11,516.22 = 5,200.26 : x
  2. Step 2: Convert to fraction form
    8,342.52/11,516.22 = 5,200.26/x
  3. Step 3: Cross multiply
    8,342.52x = 11,516.22 × 5,200.26
  4. Step 4: Simplify right side
    8,342.52x = 59,887,338.22
  5. Step 5: Solve for x
    x = 59,887,338.22/8,342.52
  6. Step 6: Final answer
    x = 7,178.57

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1.5x scale

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.