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Finding the Fourth Proportional to 11,841.21, 17,742.38 and 4,045.77

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Solution

The fourth proportional to 11,841.21, 17,742.38 and 4,045.77 is: 6,062.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.21 : 17,742.38 = 4,045.77 : x
  2. Step 2: Convert to fraction form
    11,841.21/17,742.38 = 4,045.77/x
  3. Step 3: Cross multiply
    11,841.21x = 17,742.38 × 4,045.77
  4. Step 4: Simplify right side
    11,841.21x = 71,781,568.50
  5. Step 5: Solve for x
    x = 71,781,568.50/11,841.21
  6. Step 6: Final answer
    x = 6,062.01

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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.