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Finding the Fourth Proportional to 13,107.56, 18,082.02 and 7,800.68

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Solution

The fourth proportional to 13,107.56, 18,082.02 and 7,800.68 is: 10,761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.56 : 18,082.02 = 7,800.68 : x
  2. Step 2: Convert to fraction form
    13,107.56/18,082.02 = 7,800.68/x
  3. Step 3: Cross multiply
    13,107.56x = 18,082.02 × 7,800.68
  4. Step 4: Simplify right side
    13,107.56x = 141,052,051.77
  5. Step 5: Solve for x
    x = 141,052,051.77/13,107.56
  6. Step 6: Final answer
    x = 10,761.12

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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.