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Finding the Fourth Proportional to 11,886.14, 16,403.13 and 6,508.81

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Solution

The fourth proportional to 11,886.14, 16,403.13 and 6,508.81 is: 8,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.14 : 16,403.13 = 6,508.81 : x
  2. Step 2: Convert to fraction form
    11,886.14/16,403.13 = 6,508.81/x
  3. Step 3: Cross multiply
    11,886.14x = 16,403.13 × 6,508.81
  4. Step 4: Simplify right side
    11,886.14x = 106,764,742.02
  5. Step 5: Solve for x
    x = 106,764,742.02/11,886.14
  6. Step 6: Final answer
    x = 8,982.29

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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.