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Finding the Fourth Proportional to 11,331.61, 16,992.64 and 6,065.50

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Solution

The fourth proportional to 11,331.61, 16,992.64 and 6,065.50 is: 9,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331.61 : 16,992.64 = 6,065.50 : x
  2. Step 2: Convert to fraction form
    11,331.61/16,992.64 = 6,065.50/x
  3. Step 3: Cross multiply
    11,331.61x = 16,992.64 × 6,065.50
  4. Step 4: Simplify right side
    11,331.61x = 103,068,857.92
  5. Step 5: Solve for x
    x = 103,068,857.92/11,331.61
  6. Step 6: Final answer
    x = 9,095.69

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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.