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Finding the Fourth Proportional to 13,086.76, 18,059.58 and 7,781.46

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Solution

The fourth proportional to 13,086.76, 18,059.58 and 7,781.46 is: 10,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.76 : 18,059.58 = 7,781.46 : x
  2. Step 2: Convert to fraction form
    13,086.76/18,059.58 = 7,781.46/x
  3. Step 3: Cross multiply
    13,086.76x = 18,059.58 × 7,781.46
  4. Step 4: Simplify right side
    13,086.76x = 140,529,899.39
  5. Step 5: Solve for x
    x = 140,529,899.39/13,086.76
  6. Step 6: Final answer
    x = 10,738.33

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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.