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Finding the Fourth Proportional to 11,658.96, 17,498.70 and 6,116.27

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Solution

The fourth proportional to 11,658.96, 17,498.70 and 6,116.27 is: 9,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.96 : 17,498.70 = 6,116.27 : x
  2. Step 2: Convert to fraction form
    11,658.96/17,498.70 = 6,116.27/x
  3. Step 3: Cross multiply
    11,658.96x = 17,498.70 × 6,116.27
  4. Step 4: Simplify right side
    11,658.96x = 107,026,686.36
  5. Step 5: Solve for x
    x = 107,026,686.36/11,658.96
  6. Step 6: Final answer
    x = 9,179.78

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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.