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Finding the Fourth Proportional to 11,751.60, 16,216.17 and 6,714.81

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Solution

The fourth proportional to 11,751.60, 16,216.17 and 6,714.81 is: 9,265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.60 : 16,216.17 = 6,714.81 : x
  2. Step 2: Convert to fraction form
    11,751.60/16,216.17 = 6,714.81/x
  3. Step 3: Cross multiply
    11,751.60x = 16,216.17 × 6,714.81
  4. Step 4: Simplify right side
    11,751.60x = 108,888,500.48
  5. Step 5: Solve for x
    x = 108,888,500.48/11,751.60
  6. Step 6: Final answer
    x = 9,265.84

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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.