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Finding the Fourth Proportional to 8,004.52, 11,046.17 and 4,819.60

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Solution

The fourth proportional to 8,004.52, 11,046.17 and 4,819.60 is: 6,651.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.52 : 11,046.17 = 4,819.60 : x
  2. Step 2: Convert to fraction form
    8,004.52/11,046.17 = 4,819.60/x
  3. Step 3: Cross multiply
    8,004.52x = 11,046.17 × 4,819.60
  4. Step 4: Simplify right side
    8,004.52x = 53,238,146.79
  5. Step 5: Solve for x
    x = 53,238,146.79/8,004.52
  6. Step 6: Final answer
    x = 6,651.01

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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.