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Finding the Fourth Proportional to 11,714.72, 16,166.51 and 6,409.41

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Solution

The fourth proportional to 11,714.72, 16,166.51 and 6,409.41 is: 8,845.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.72 : 16,166.51 = 6,409.41 : x
  2. Step 2: Convert to fraction form
    11,714.72/16,166.51 = 6,409.41/x
  3. Step 3: Cross multiply
    11,714.72x = 16,166.51 × 6,409.41
  4. Step 4: Simplify right side
    11,714.72x = 103,617,758.81
  5. Step 5: Solve for x
    x = 103,617,758.81/11,714.72
  6. Step 6: Final answer
    x = 8,845.09

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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.