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Finding the Fourth Proportional to 11,654.66, 17,468.11 and 6,714.07

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Solution

The fourth proportional to 11,654.66, 17,468.11 and 6,714.07 is: 10,063.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.66 : 17,468.11 = 6,714.07 : x
  2. Step 2: Convert to fraction form
    11,654.66/17,468.11 = 6,714.07/x
  3. Step 3: Cross multiply
    11,654.66x = 17,468.11 × 6,714.07
  4. Step 4: Simplify right side
    11,654.66x = 117,282,113.31
  5. Step 5: Solve for x
    x = 117,282,113.31/11,654.66
  6. Step 6: Final answer
    x = 10,063.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.