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Finding the Fourth Proportional to 8,800, 13,182.72 and 4,404.48

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Solution

The fourth proportional to 8,800, 13,182.72 and 4,404.48 is: 6,598.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,800 : 13,182.72 = 4,404.48 : x
  2. Step 2: Convert to fraction form
    8,800/13,182.72 = 4,404.48/x
  3. Step 3: Cross multiply
    8,800x = 13,182.72 × 4,404.48
  4. Step 4: Simplify right side
    8,800x = 58,063,026.59
  5. Step 5: Solve for x
    x = 58,063,026.59/8,800
  6. Step 6: Final answer
    x = 6,598.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.