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Finding the Fourth Proportional to 6,716.22, 10,065.97 and 3,588.50

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Solution

The fourth proportional to 6,716.22, 10,065.97 and 3,588.50 is: 5,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.22 : 10,065.97 = 3,588.50 : x
  2. Step 2: Convert to fraction form
    6,716.22/10,065.97 = 3,588.50/x
  3. Step 3: Cross multiply
    6,716.22x = 10,065.97 × 3,588.50
  4. Step 4: Simplify right side
    6,716.22x = 36,121,763.00
  5. Step 5: Solve for x
    x = 36,121,763.00/6,716.22
  6. Step 6: Final answer
    x = 5,378.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.