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Finding the Fourth Proportional to 6,716.34, 10,077.92 and 3,017.81

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Solution

The fourth proportional to 6,716.34, 10,077.92 and 3,017.81 is: 4,528.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.34 : 10,077.92 = 3,017.81 : x
  2. Step 2: Convert to fraction form
    6,716.34/10,077.92 = 3,017.81/x
  3. Step 3: Cross multiply
    6,716.34x = 10,077.92 × 3,017.81
  4. Step 4: Simplify right side
    6,716.34x = 30,413,182.28
  5. Step 5: Solve for x
    x = 30,413,182.28/6,716.34
  6. Step 6: Final answer
    x = 4,528.24

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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.