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Finding the Fourth Proportional to 8,130.36, 11,219.94 and 4,593.90

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Solution

The fourth proportional to 8,130.36, 11,219.94 and 4,593.90 is: 6,339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.36 : 11,219.94 = 4,593.90 : x
  2. Step 2: Convert to fraction form
    8,130.36/11,219.94 = 4,593.90/x
  3. Step 3: Cross multiply
    8,130.36x = 11,219.94 × 4,593.90
  4. Step 4: Simplify right side
    8,130.36x = 51,543,282.37
  5. Step 5: Solve for x
    x = 51,543,282.37/8,130.36
  6. Step 6: Final answer
    x = 6,339.61

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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.