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Finding the Fourth Proportional to 10,183.95, 14,065.52 and 8,113.59

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Solution

The fourth proportional to 10,183.95, 14,065.52 and 8,113.59 is: 11,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,183.95 : 14,065.52 = 8,113.59 : x
  2. Step 2: Convert to fraction form
    10,183.95/14,065.52 = 8,113.59/x
  3. Step 3: Cross multiply
    10,183.95x = 14,065.52 × 8,113.59
  4. Step 4: Simplify right side
    10,183.95x = 114,121,821.85
  5. Step 5: Solve for x
    x = 114,121,821.85/10,183.95
  6. Step 6: Final answer
    x = 11,206.05

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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.