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Finding the Fourth Proportional to 8,051.68, 12,074.10 and 3,671.92

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Solution

The fourth proportional to 8,051.68, 12,074.10 and 3,671.92 is: 5,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.68 : 12,074.10 = 3,671.92 : x
  2. Step 2: Convert to fraction form
    8,051.68/12,074.10 = 3,671.92/x
  3. Step 3: Cross multiply
    8,051.68x = 12,074.10 × 3,671.92
  4. Step 4: Simplify right side
    8,051.68x = 44,335,129.27
  5. Step 5: Solve for x
    x = 44,335,129.27/8,051.68
  6. Step 6: Final answer
    x = 5,506.32

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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.