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Finding the Fourth Proportional to 6,175.76, 8,522.53 and 3,343.15

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Solution

The fourth proportional to 6,175.76, 8,522.53 and 3,343.15 is: 4,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.76 : 8,522.53 = 3,343.15 : x
  2. Step 2: Convert to fraction form
    6,175.76/8,522.53 = 3,343.15/x
  3. Step 3: Cross multiply
    6,175.76x = 8,522.53 × 3,343.15
  4. Step 4: Simplify right side
    6,175.76x = 28,492,096.17
  5. Step 5: Solve for x
    x = 28,492,096.17/6,175.76
  6. Step 6: Final answer
    x = 4,613.54

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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.