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Finding the Fourth Proportional to 13,103.16, 18,082.40 and 7,797.96

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Solution

The fourth proportional to 13,103.16, 18,082.40 and 7,797.96 is: 10,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.16 : 18,082.40 = 7,797.96 : x
  2. Step 2: Convert to fraction form
    13,103.16/18,082.40 = 7,797.96/x
  3. Step 3: Cross multiply
    13,103.16x = 18,082.40 × 7,797.96
  4. Step 4: Simplify right side
    13,103.16x = 141,005,831.90
  5. Step 5: Solve for x
    x = 141,005,831.90/13,103.16
  6. Step 6: Final answer
    x = 10,761.21

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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.