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Finding the Fourth Proportional to 8,324.25, 12,492.53 and 3,941.70

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Solution

The fourth proportional to 8,324.25, 12,492.53 and 3,941.70 is: 5,915.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.25 : 12,492.53 = 3,941.70 : x
  2. Step 2: Convert to fraction form
    8,324.25/12,492.53 = 3,941.70/x
  3. Step 3: Cross multiply
    8,324.25x = 12,492.53 × 3,941.70
  4. Step 4: Simplify right side
    8,324.25x = 49,241,785.79
  5. Step 5: Solve for x
    x = 49,241,785.79/8,324.25
  6. Step 6: Final answer
    x = 5,915.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.