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Finding the Fourth Proportional to 13,183.12, 18,191.01 and 7,877.08

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Solution

The fourth proportional to 13,183.12, 18,191.01 and 7,877.08 is: 10,869.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.12 : 18,191.01 = 7,877.08 : x
  2. Step 2: Convert to fraction form
    13,183.12/18,191.01 = 7,877.08/x
  3. Step 3: Cross multiply
    13,183.12x = 18,191.01 × 7,877.08
  4. Step 4: Simplify right side
    13,183.12x = 143,292,041.05
  5. Step 5: Solve for x
    x = 143,292,041.05/13,183.12
  6. Step 6: Final answer
    x = 10,869.36

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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.