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Finding the Fourth Proportional to 13,130.78, 18,120.83 and 8,027.12

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Solution

The fourth proportional to 13,130.78, 18,120.83 and 8,027.12 is: 11,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.78 : 18,120.83 = 8,027.12 : x
  2. Step 2: Convert to fraction form
    13,130.78/18,120.83 = 8,027.12/x
  3. Step 3: Cross multiply
    13,130.78x = 18,120.83 × 8,027.12
  4. Step 4: Simplify right side
    13,130.78x = 145,458,082.08
  5. Step 5: Solve for x
    x = 145,458,082.08/13,130.78
  6. Step 6: Final answer
    x = 11,077.65

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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.