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Finding the Fourth Proportional to 7,026.50, 10,522.82 and 3,899.10

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Solution

The fourth proportional to 7,026.50, 10,522.82 and 3,899.10 is: 5,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.50 : 10,522.82 = 3,899.10 : x
  2. Step 2: Convert to fraction form
    7,026.50/10,522.82 = 3,899.10/x
  3. Step 3: Cross multiply
    7,026.50x = 10,522.82 × 3,899.10
  4. Step 4: Simplify right side
    7,026.50x = 41,029,527.46
  5. Step 5: Solve for x
    x = 41,029,527.46/7,026.50
  6. Step 6: Final answer
    x = 5,839.26

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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.