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Finding the Fourth Proportional to 6,715.17, 10,059.04 and 3,194.53

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Solution

The fourth proportional to 6,715.17, 10,059.04 and 3,194.53 is: 4,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.17 : 10,059.04 = 3,194.53 : x
  2. Step 2: Convert to fraction form
    6,715.17/10,059.04 = 3,194.53/x
  3. Step 3: Cross multiply
    6,715.17x = 10,059.04 × 3,194.53
  4. Step 4: Simplify right side
    6,715.17x = 32,133,854.76
  5. Step 5: Solve for x
    x = 32,133,854.76/6,715.17
  6. Step 6: Final answer
    x = 4,785.26

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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.