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Finding the Fourth Proportional to 8,129.89, 11,219.61 and 4,593.16

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Solution

The fourth proportional to 8,129.89, 11,219.61 and 4,593.16 is: 6,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.89 : 11,219.61 = 4,593.16 : x
  2. Step 2: Convert to fraction form
    8,129.89/11,219.61 = 4,593.16/x
  3. Step 3: Cross multiply
    8,129.89x = 11,219.61 × 4,593.16
  4. Step 4: Simplify right side
    8,129.89x = 51,533,463.87
  5. Step 5: Solve for x
    x = 51,533,463.87/8,129.89
  6. Step 6: Final answer
    x = 6,338.77

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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.