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Finding the Fourth Proportional to 11,714.93, 16,165.14 and 6,678.62

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Solution

The fourth proportional to 11,714.93, 16,165.14 and 6,678.62 is: 9,215.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.93 : 16,165.14 = 6,678.62 : x
  2. Step 2: Convert to fraction form
    11,714.93/16,165.14 = 6,678.62/x
  3. Step 3: Cross multiply
    11,714.93x = 16,165.14 × 6,678.62
  4. Step 4: Simplify right side
    11,714.93x = 107,960,827.31
  5. Step 5: Solve for x
    x = 107,960,827.31/11,714.93
  6. Step 6: Final answer
    x = 9,215.66

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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.