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Finding the Fourth Proportional to 13,102.54, 18,081.58 and 7,797.55

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Solution

The fourth proportional to 13,102.54, 18,081.58 and 7,797.55 is: 10,760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.54 : 18,081.58 = 7,797.55 : x
  2. Step 2: Convert to fraction form
    13,102.54/18,081.58 = 7,797.55/x
  3. Step 3: Cross multiply
    13,102.54x = 18,081.58 × 7,797.55
  4. Step 4: Simplify right side
    13,102.54x = 140,992,024.13
  5. Step 5: Solve for x
    x = 140,992,024.13/13,102.54
  6. Step 6: Final answer
    x = 10,760.66

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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.