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Finding the Fourth Proportional to 11,877.72, 16,391.37 and 6,572.66

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Solution

The fourth proportional to 11,877.72, 16,391.37 and 6,572.66 is: 9,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.72 : 16,391.37 = 6,572.66 : x
  2. Step 2: Convert to fraction form
    11,877.72/16,391.37 = 6,572.66/x
  3. Step 3: Cross multiply
    11,877.72x = 16,391.37 × 6,572.66
  4. Step 4: Simplify right side
    11,877.72x = 107,734,819.99
  5. Step 5: Solve for x
    x = 107,734,819.99/11,877.72
  6. Step 6: Final answer
    x = 9,070.33

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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.