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Finding the Fourth Proportional to 10,029.72, 13,843.29 and 6,252.15

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Solution

The fourth proportional to 10,029.72, 13,843.29 and 6,252.15 is: 8,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.72 : 13,843.29 = 6,252.15 : x
  2. Step 2: Convert to fraction form
    10,029.72/13,843.29 = 6,252.15/x
  3. Step 3: Cross multiply
    10,029.72x = 13,843.29 × 6,252.15
  4. Step 4: Simplify right side
    10,029.72x = 86,550,320.51
  5. Step 5: Solve for x
    x = 86,550,320.51/10,029.72
  6. Step 6: Final answer
    x = 8,629.39

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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.