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Finding the Fourth Proportional to 11,162.61, 15,403.77 and 6,685.34

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Solution

The fourth proportional to 11,162.61, 15,403.77 and 6,685.34 is: 9,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.61 : 15,403.77 = 6,685.34 : x
  2. Step 2: Convert to fraction form
    11,162.61/15,403.77 = 6,685.34/x
  3. Step 3: Cross multiply
    11,162.61x = 15,403.77 × 6,685.34
  4. Step 4: Simplify right side
    11,162.61x = 102,979,439.73
  5. Step 5: Solve for x
    x = 102,979,439.73/11,162.61
  6. Step 6: Final answer
    x = 9,225.39

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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.