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Finding the Fourth Proportional to 8,310, 11,468.02 and 4,533.23

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Solution

The fourth proportional to 8,310, 11,468.02 and 4,533.23 is: 6,255.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310 : 11,468.02 = 4,533.23 : x
  2. Step 2: Convert to fraction form
    8,310/11,468.02 = 4,533.23/x
  3. Step 3: Cross multiply
    8,310x = 11,468.02 × 4,533.23
  4. Step 4: Simplify right side
    8,310x = 51,987,120.97
  5. Step 5: Solve for x
    x = 51,987,120.97/8,310
  6. Step 6: Final answer
    x = 6,255.97

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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.