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Finding the Fourth Proportional to 11,714.86, 16,166.90 and 6,409.68

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Solution

The fourth proportional to 11,714.86, 16,166.90 and 6,409.68 is: 8,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.86 : 16,166.90 = 6,409.68 : x
  2. Step 2: Convert to fraction form
    11,714.86/16,166.90 = 6,409.68/x
  3. Step 3: Cross multiply
    11,714.86x = 16,166.90 × 6,409.68
  4. Step 4: Simplify right side
    11,714.86x = 103,624,655.59
  5. Step 5: Solve for x
    x = 103,624,655.59/11,714.86
  6. Step 6: Final answer
    x = 8,845.57

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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.