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Finding the Fourth Proportional to 11,712.12, 16,162.52 and 6,406.89

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Solution

The fourth proportional to 11,712.12, 16,162.52 and 6,406.89 is: 8,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.12 : 16,162.52 = 6,406.89 : x
  2. Step 2: Convert to fraction form
    11,712.12/16,162.52 = 6,406.89/x
  3. Step 3: Cross multiply
    11,712.12x = 16,162.52 × 6,406.89
  4. Step 4: Simplify right side
    11,712.12x = 103,551,455.73
  5. Step 5: Solve for x
    x = 103,551,455.73/11,712.12
  6. Step 6: Final answer
    x = 8,841.39

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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.