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Finding the Fourth Proportional to 11,617.32, 17,426 and 6,683.88

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Solution

The fourth proportional to 11,617.32, 17,426 and 6,683.88 is: 10,025.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.32 : 17,426 = 6,683.88 : x
  2. Step 2: Convert to fraction form
    11,617.32/17,426 = 6,683.88/x
  3. Step 3: Cross multiply
    11,617.32x = 17,426 × 6,683.88
  4. Step 4: Simplify right side
    11,617.32x = 116,473,292.88
  5. Step 5: Solve for x
    x = 116,473,292.88/11,617.32
  6. Step 6: Final answer
    x = 10,025.83

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Why These Related Problems?

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