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Finding the Fourth Proportional to 10,719.86, 14,792.01 and 6,005

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Solution

The fourth proportional to 10,719.86, 14,792.01 and 6,005 is: 8,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,719.86 : 14,792.01 = 6,005 : x
  2. Step 2: Convert to fraction form
    10,719.86/14,792.01 = 6,005/x
  3. Step 3: Cross multiply
    10,719.86x = 14,792.01 × 6,005
  4. Step 4: Simplify right side
    10,719.86x = 88,826,020.05
  5. Step 5: Solve for x
    x = 88,826,020.05/10,719.86
  6. Step 6: Final answer
    x = 8,286.12

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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.