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Finding the Fourth Proportional to 10,611.22, 15,916.84 and 4,035.86

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Solution

The fourth proportional to 10,611.22, 15,916.84 and 4,035.86 is: 6,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.22 : 15,916.84 = 4,035.86 : x
  2. Step 2: Convert to fraction form
    10,611.22/15,916.84 = 4,035.86/x
  3. Step 3: Cross multiply
    10,611.22x = 15,916.84 × 4,035.86
  4. Step 4: Simplify right side
    10,611.22x = 64,238,137.88
  5. Step 5: Solve for x
    x = 64,238,137.88/10,611.22
  6. Step 6: Final answer
    x = 6,053.79

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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.