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Finding the Fourth Proportional to 8,354.50, 12,522.03 and 3,418.16

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Solution

The fourth proportional to 8,354.50, 12,522.03 and 3,418.16 is: 5,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.50 : 12,522.03 = 3,418.16 : x
  2. Step 2: Convert to fraction form
    8,354.50/12,522.03 = 3,418.16/x
  3. Step 3: Cross multiply
    8,354.50x = 12,522.03 × 3,418.16
  4. Step 4: Simplify right side
    8,354.50x = 42,802,302.06
  5. Step 5: Solve for x
    x = 42,802,302.06/8,354.50
  6. Step 6: Final answer
    x = 5,123.26

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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.