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Finding the Fourth Proportional to 11,901.86, 16,403.59 and 10,527.09

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Solution

The fourth proportional to 11,901.86, 16,403.59 and 10,527.09 is: 14,508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.86 : 16,403.59 = 10,527.09 : x
  2. Step 2: Convert to fraction form
    11,901.86/16,403.59 = 10,527.09/x
  3. Step 3: Cross multiply
    11,901.86x = 16,403.59 × 10,527.09
  4. Step 4: Simplify right side
    11,901.86x = 172,682,068.25
  5. Step 5: Solve for x
    x = 172,682,068.25/11,901.86
  6. Step 6: Final answer
    x = 14,508.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.