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Finding the Fourth Proportional to 11,766.63, 17,649.96 and 8,272.26

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Solution

The fourth proportional to 11,766.63, 17,649.96 and 8,272.26 is: 12,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.63 : 17,649.96 = 8,272.26 : x
  2. Step 2: Convert to fraction form
    11,766.63/17,649.96 = 8,272.26/x
  3. Step 3: Cross multiply
    11,766.63x = 17,649.96 × 8,272.26
  4. Step 4: Simplify right side
    11,766.63x = 146,005,038.81
  5. Step 5: Solve for x
    x = 146,005,038.81/11,766.63
  6. Step 6: Final answer
    x = 12,408.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.