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Finding the Fourth Proportional to 11,714.27, 16,165.63 and 6,678.70

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Solution

The fourth proportional to 11,714.27, 16,165.63 and 6,678.70 is: 9,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.27 : 16,165.63 = 6,678.70 : x
  2. Step 2: Convert to fraction form
    11,714.27/16,165.63 = 6,678.70/x
  3. Step 3: Cross multiply
    11,714.27x = 16,165.63 × 6,678.70
  4. Step 4: Simplify right side
    11,714.27x = 107,965,393.08
  5. Step 5: Solve for x
    x = 107,965,393.08/11,714.27
  6. Step 6: Final answer
    x = 9,216.57

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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.