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Finding the Fourth Proportional to 8,612.64, 12,915.84 and 3,682.62

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Solution

The fourth proportional to 8,612.64, 12,915.84 and 3,682.62 is: 5,522.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,612.64 : 12,915.84 = 3,682.62 : x
  2. Step 2: Convert to fraction form
    8,612.64/12,915.84 = 3,682.62/x
  3. Step 3: Cross multiply
    8,612.64x = 12,915.84 × 3,682.62
  4. Step 4: Simplify right side
    8,612.64x = 47,564,130.70
  5. Step 5: Solve for x
    x = 47,564,130.70/8,612.64
  6. Step 6: Final answer
    x = 5,522.60

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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.