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Finding the Fourth Proportional to 6,762.56, 10,129.01 and 5,579.25

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Solution

The fourth proportional to 6,762.56, 10,129.01 and 5,579.25 is: 8,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.56 : 10,129.01 = 5,579.25 : x
  2. Step 2: Convert to fraction form
    6,762.56/10,129.01 = 5,579.25/x
  3. Step 3: Cross multiply
    6,762.56x = 10,129.01 × 5,579.25
  4. Step 4: Simplify right side
    6,762.56x = 56,512,251.15
  5. Step 5: Solve for x
    x = 56,512,251.15/6,762.56
  6. Step 6: Final answer
    x = 8,356.64

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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.