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Finding the Fourth Proportional to 11,917.90, 16,447.14 and 6,540.50

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Solution

The fourth proportional to 11,917.90, 16,447.14 and 6,540.50 is: 9,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.90 : 16,447.14 = 6,540.50 : x
  2. Step 2: Convert to fraction form
    11,917.90/16,447.14 = 6,540.50/x
  3. Step 3: Cross multiply
    11,917.90x = 16,447.14 × 6,540.50
  4. Step 4: Simplify right side
    11,917.90x = 107,572,584.81
  5. Step 5: Solve for x
    x = 107,572,584.81/11,917.90
  6. Step 6: Final answer
    x = 9,026.13

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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.