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Finding the Fourth Proportional to 8,131.52, 11,220.72 and 4,594.64

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Solution

The fourth proportional to 8,131.52, 11,220.72 and 4,594.64 is: 6,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.52 : 11,220.72 = 4,594.64 : x
  2. Step 2: Convert to fraction form
    8,131.52/11,220.72 = 4,594.64/x
  3. Step 3: Cross multiply
    8,131.52x = 11,220.72 × 4,594.64
  4. Step 4: Simplify right side
    8,131.52x = 51,555,168.94
  5. Step 5: Solve for x
    x = 51,555,168.94/8,131.52
  6. Step 6: Final answer
    x = 6,340.16

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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.