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Finding the Fourth Proportional to 6,176.06, 8,523.16 and 3,523.86

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Solution

The fourth proportional to 6,176.06, 8,523.16 and 3,523.86 is: 4,863.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.06 : 8,523.16 = 3,523.86 : x
  2. Step 2: Convert to fraction form
    6,176.06/8,523.16 = 3,523.86/x
  3. Step 3: Cross multiply
    6,176.06x = 8,523.16 × 3,523.86
  4. Step 4: Simplify right side
    6,176.06x = 30,034,422.60
  5. Step 5: Solve for x
    x = 30,034,422.60/6,176.06
  6. Step 6: Final answer
    x = 4,863.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.