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Finding the Fourth Proportional to 6,095.20, 8,299.84 and 6,095.20

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Solution

The fourth proportional to 6,095.20, 8,299.84 and 6,095.20 is: 8,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.20 : 8,299.84 = 6,095.20 : x
  2. Step 2: Convert to fraction form
    6,095.20/8,299.84 = 6,095.20/x
  3. Step 3: Cross multiply
    6,095.20x = 8,299.84 × 6,095.20
  4. Step 4: Simplify right side
    6,095.20x = 50,589,184.77
  5. Step 5: Solve for x
    x = 50,589,184.77/6,095.20
  6. Step 6: Final answer
    x = 8,299.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.