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Finding the Fourth Proportional to 11,672.35, 17,465.42 and 6,995.66

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Solution

The fourth proportional to 11,672.35, 17,465.42 and 6,995.66 is: 10,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.35 : 17,465.42 = 6,995.66 : x
  2. Step 2: Convert to fraction form
    11,672.35/17,465.42 = 6,995.66/x
  3. Step 3: Cross multiply
    11,672.35x = 17,465.42 × 6,995.66
  4. Step 4: Simplify right side
    11,672.35x = 122,182,070.24
  5. Step 5: Solve for x
    x = 122,182,070.24/11,672.35
  6. Step 6: Final answer
    x = 10,467.65

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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.