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Finding the Fourth Proportional to 12,057.47, 16,640.72 and 6,751.25

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Solution

The fourth proportional to 12,057.47, 16,640.72 and 6,751.25 is: 9,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.47 : 16,640.72 = 6,751.25 : x
  2. Step 2: Convert to fraction form
    12,057.47/16,640.72 = 6,751.25/x
  3. Step 3: Cross multiply
    12,057.47x = 16,640.72 × 6,751.25
  4. Step 4: Simplify right side
    12,057.47x = 112,345,719.38
  5. Step 5: Solve for x
    x = 112,345,719.38/12,057.47
  6. Step 6: Final answer
    x = 9,317.52

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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.