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Finding the Fourth Proportional to 6,785.64, 10,181.50 and 4,017.74

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Solution

The fourth proportional to 6,785.64, 10,181.50 and 4,017.74 is: 6,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.64 : 10,181.50 = 4,017.74 : x
  2. Step 2: Convert to fraction form
    6,785.64/10,181.50 = 4,017.74/x
  3. Step 3: Cross multiply
    6,785.64x = 10,181.50 × 4,017.74
  4. Step 4: Simplify right side
    6,785.64x = 40,906,558.86
  5. Step 5: Solve for x
    x = 40,906,558.86/6,785.64
  6. Step 6: Final answer
    x = 6,028.40

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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.