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Finding the Fourth Proportional to 11,655.66, 17,469.61 and 6,715.07

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Solution

The fourth proportional to 11,655.66, 17,469.61 and 6,715.07 is: 10,064.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.66 : 17,469.61 = 6,715.07 : x
  2. Step 2: Convert to fraction form
    11,655.66/17,469.61 = 6,715.07/x
  3. Step 3: Cross multiply
    11,655.66x = 17,469.61 × 6,715.07
  4. Step 4: Simplify right side
    11,655.66x = 117,309,654.02
  5. Step 5: Solve for x
    x = 117,309,654.02/11,655.66
  6. Step 6: Final answer
    x = 10,064.61

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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.