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Finding the Fourth Proportional to 12,056.38, 16,637.86 and 6,751.20

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Solution

The fourth proportional to 12,056.38, 16,637.86 and 6,751.20 is: 9,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056.38 : 16,637.86 = 6,751.20 : x
  2. Step 2: Convert to fraction form
    12,056.38/16,637.86 = 6,751.20/x
  3. Step 3: Cross multiply
    12,056.38x = 16,637.86 × 6,751.20
  4. Step 4: Simplify right side
    12,056.38x = 112,325,520.43
  5. Step 5: Solve for x
    x = 112,325,520.43/12,056.38
  6. Step 6: Final answer
    x = 9,316.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.