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Finding the Fourth Proportional to 11,674.15, 17,515.59 and 6,997.51

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Solution

The fourth proportional to 11,674.15, 17,515.59 and 6,997.51 is: 10,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.15 : 17,515.59 = 6,997.51 : x
  2. Step 2: Convert to fraction form
    11,674.15/17,515.59 = 6,997.51/x
  3. Step 3: Cross multiply
    11,674.15x = 17,515.59 × 6,997.51
  4. Step 4: Simplify right side
    11,674.15x = 122,565,516.18
  5. Step 5: Solve for x
    x = 122,565,516.18/11,674.15
  6. Step 6: Final answer
    x = 10,498.88

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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.