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Finding the Fourth Proportional to 6,785.74, 10,166.53 and 4,151.96

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Solution

The fourth proportional to 6,785.74, 10,166.53 and 4,151.96 is: 6,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.74 : 10,166.53 = 4,151.96 : x
  2. Step 2: Convert to fraction form
    6,785.74/10,166.53 = 4,151.96/x
  3. Step 3: Cross multiply
    6,785.74x = 10,166.53 × 4,151.96
  4. Step 4: Simplify right side
    6,785.74x = 42,211,025.90
  5. Step 5: Solve for x
    x = 42,211,025.90/6,785.74
  6. Step 6: Final answer
    x = 6,220.55

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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.