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Finding the Fourth Proportional to 10,404.90, 15,629.13 and 8,844.66

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Solution

The fourth proportional to 10,404.90, 15,629.13 and 8,844.66 is: 13,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.90 : 15,629.13 = 8,844.66 : x
  2. Step 2: Convert to fraction form
    10,404.90/15,629.13 = 8,844.66/x
  3. Step 3: Cross multiply
    10,404.90x = 15,629.13 × 8,844.66
  4. Step 4: Simplify right side
    10,404.90x = 138,234,340.95
  5. Step 5: Solve for x
    x = 138,234,340.95/10,404.90
  6. Step 6: Final answer
    x = 13,285.50

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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.