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Finding the Fourth Proportional to 11,766, 16,236.27 and 6,459.72

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Solution

The fourth proportional to 11,766, 16,236.27 and 6,459.72 is: 8,913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766 : 16,236.27 = 6,459.72 : x
  2. Step 2: Convert to fraction form
    11,766/16,236.27 = 6,459.72/x
  3. Step 3: Cross multiply
    11,766x = 16,236.27 × 6,459.72
  4. Step 4: Simplify right side
    11,766x = 104,881,758.04
  5. Step 5: Solve for x
    x = 104,881,758.04/11,766
  6. Step 6: Final answer
    x = 8,913.97

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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.