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Finding the Fourth Proportional to 11,714.55, 16,166.10 and 6,409.38

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Solution

The fourth proportional to 11,714.55, 16,166.10 and 6,409.38 is: 8,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.55 : 16,166.10 = 6,409.38 : x
  2. Step 2: Convert to fraction form
    11,714.55/16,166.10 = 6,409.38/x
  3. Step 3: Cross multiply
    11,714.55x = 16,166.10 × 6,409.38
  4. Step 4: Simplify right side
    11,714.55x = 103,614,678.02
  5. Step 5: Solve for x
    x = 103,614,678.02/11,714.55
  6. Step 6: Final answer
    x = 8,844.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.