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Finding the Fourth Proportional to 11,714.22, 16,157.48 and 8,360.82

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Solution

The fourth proportional to 11,714.22, 16,157.48 and 8,360.82 is: 11,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.22 : 16,157.48 = 8,360.82 : x
  2. Step 2: Convert to fraction form
    11,714.22/16,157.48 = 8,360.82/x
  3. Step 3: Cross multiply
    11,714.22x = 16,157.48 × 8,360.82
  4. Step 4: Simplify right side
    11,714.22x = 135,089,740.13
  5. Step 5: Solve for x
    x = 135,089,740.13/11,714.22
  6. Step 6: Final answer
    x = 11,532.12

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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.