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Finding the Fourth Proportional to 11,886.66, 16,403.85 and 6,581.70

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Solution

The fourth proportional to 11,886.66, 16,403.85 and 6,581.70 is: 9,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.66 : 16,403.85 = 6,581.70 : x
  2. Step 2: Convert to fraction form
    11,886.66/16,403.85 = 6,581.70/x
  3. Step 3: Cross multiply
    11,886.66x = 16,403.85 × 6,581.70
  4. Step 4: Simplify right side
    11,886.66x = 107,965,219.55
  5. Step 5: Solve for x
    x = 107,965,219.55/11,886.66
  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.