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Finding the Fourth Proportional to 11,710.36, 17,565.90 and 4,311.64

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Solution

The fourth proportional to 11,710.36, 17,565.90 and 4,311.64 is: 6,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.36 : 17,565.90 = 4,311.64 : x
  2. Step 2: Convert to fraction form
    11,710.36/17,565.90 = 4,311.64/x
  3. Step 3: Cross multiply
    11,710.36x = 17,565.90 × 4,311.64
  4. Step 4: Simplify right side
    11,710.36x = 75,737,837.08
  5. Step 5: Solve for x
    x = 75,737,837.08/11,710.36
  6. Step 6: Final answer
    x = 6,467.59

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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.