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Finding the Fourth Proportional to 11,677.32, 17,510.72 and 3,355.44

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Solution

The fourth proportional to 11,677.32, 17,510.72 and 3,355.44 is: 5,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.32 : 17,510.72 = 3,355.44 : x
  2. Step 2: Convert to fraction form
    11,677.32/17,510.72 = 3,355.44/x
  3. Step 3: Cross multiply
    11,677.32x = 17,510.72 × 3,355.44
  4. Step 4: Simplify right side
    11,677.32x = 58,756,170.32
  5. Step 5: Solve for x
    x = 58,756,170.32/11,677.32
  6. Step 6: Final answer
    x = 5,031.65

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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.