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Finding the Fourth Proportional to 10,198.13, 14,074.14 and 5,661.05

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Solution

The fourth proportional to 10,198.13, 14,074.14 and 5,661.05 is: 7,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.13 : 14,074.14 = 5,661.05 : x
  2. Step 2: Convert to fraction form
    10,198.13/14,074.14 = 5,661.05/x
  3. Step 3: Cross multiply
    10,198.13x = 14,074.14 × 5,661.05
  4. Step 4: Simplify right side
    10,198.13x = 79,674,339.88
  5. Step 5: Solve for x
    x = 79,674,339.88/10,198.13
  6. Step 6: Final answer
    x = 7,812.65

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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.