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Finding the Fourth Proportional to 11,752.56, 16,218.42 and 6,447.39

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Solution

The fourth proportional to 11,752.56, 16,218.42 and 6,447.39 is: 8,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.56 : 16,218.42 = 6,447.39 : x
  2. Step 2: Convert to fraction form
    11,752.56/16,218.42 = 6,447.39/x
  3. Step 3: Cross multiply
    11,752.56x = 16,218.42 × 6,447.39
  4. Step 4: Simplify right side
    11,752.56x = 104,566,478.92
  5. Step 5: Solve for x
    x = 104,566,478.92/11,752.56
  6. Step 6: Final answer
    x = 8,897.34

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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.