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Finding the Fourth Proportional to 11,881.96, 16,398.18 and 6,913

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Solution

The fourth proportional to 11,881.96, 16,398.18 and 6,913 is: 9,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.96 : 16,398.18 = 6,913 : x
  2. Step 2: Convert to fraction form
    11,881.96/16,398.18 = 6,913/x
  3. Step 3: Cross multiply
    11,881.96x = 16,398.18 × 6,913
  4. Step 4: Simplify right side
    11,881.96x = 113,360,618.34
  5. Step 5: Solve for x
    x = 113,360,618.34/11,881.96
  6. Step 6: Final answer
    x = 9,540.57

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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.