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Finding the Fourth Proportional to 6,005.36, 8,310.12 and 5,119.76

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Solution

The fourth proportional to 6,005.36, 8,310.12 and 5,119.76 is: 7,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.36 : 8,310.12 = 5,119.76 : x
  2. Step 2: Convert to fraction form
    6,005.36/8,310.12 = 5,119.76/x
  3. Step 3: Cross multiply
    6,005.36x = 8,310.12 × 5,119.76
  4. Step 4: Simplify right side
    6,005.36x = 42,545,819.97
  5. Step 5: Solve for x
    x = 42,545,819.97/6,005.36
  6. Step 6: Final answer
    x = 7,084.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.