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Finding the Fourth Proportional to 11,661.86, 16,054.03 and 10,539.38

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Solution

The fourth proportional to 11,661.86, 16,054.03 and 10,539.38 is: 14,508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.86 : 16,054.03 = 10,539.38 : x
  2. Step 2: Convert to fraction form
    11,661.86/16,054.03 = 10,539.38/x
  3. Step 3: Cross multiply
    11,661.86x = 16,054.03 × 10,539.38
  4. Step 4: Simplify right side
    11,661.86x = 169,199,522.70
  5. Step 5: Solve for x
    x = 169,199,522.70/11,661.86
  6. Step 6: Final answer
    x = 14,508.79

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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.