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Finding the Fourth Proportional to 8,489.76, 11,716.56 and 4,713.30

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Solution

The fourth proportional to 8,489.76, 11,716.56 and 4,713.30 is: 6,504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.76 : 11,716.56 = 4,713.30 : x
  2. Step 2: Convert to fraction form
    8,489.76/11,716.56 = 4,713.30/x
  3. Step 3: Cross multiply
    8,489.76x = 11,716.56 × 4,713.30
  4. Step 4: Simplify right side
    8,489.76x = 55,223,662.25
  5. Step 5: Solve for x
    x = 55,223,662.25/8,489.76
  6. Step 6: Final answer
    x = 6,504.74

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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.