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Finding the Fourth Proportional to 11,886.87, 16,403.95 and 6,581.78

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Solution

The fourth proportional to 11,886.87, 16,403.95 and 6,581.78 is: 9,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.87 : 16,403.95 = 6,581.78 : x
  2. Step 2: Convert to fraction form
    11,886.87/16,403.95 = 6,581.78/x
  3. Step 3: Cross multiply
    11,886.87x = 16,403.95 × 6,581.78
  4. Step 4: Simplify right side
    11,886.87x = 107,967,190.03
  5. Step 5: Solve for x
    x = 107,967,190.03/11,886.87
  6. Step 6: Final answer
    x = 9,082.89

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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.