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Finding the Fourth Proportional to 7,182.56, 10,751.56 and 3,887.48

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Solution

The fourth proportional to 7,182.56, 10,751.56 and 3,887.48 is: 5,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.56 : 10,751.56 = 3,887.48 : x
  2. Step 2: Convert to fraction form
    7,182.56/10,751.56 = 3,887.48/x
  3. Step 3: Cross multiply
    7,182.56x = 10,751.56 × 3,887.48
  4. Step 4: Simplify right side
    7,182.56x = 41,796,474.47
  5. Step 5: Solve for x
    x = 41,796,474.47/7,182.56
  6. Step 6: Final answer
    x = 5,819.16

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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.