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Finding the Fourth Proportional to 7,626, 10,524.78 and 4,269.36

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Solution

The fourth proportional to 7,626, 10,524.78 and 4,269.36 is: 5,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,626 : 10,524.78 = 4,269.36 : x
  2. Step 2: Convert to fraction form
    7,626/10,524.78 = 4,269.36/x
  3. Step 3: Cross multiply
    7,626x = 10,524.78 × 4,269.36
  4. Step 4: Simplify right side
    7,626x = 44,934,074.74
  5. Step 5: Solve for x
    x = 44,934,074.74/7,626
  6. Step 6: Final answer
    x = 5,892.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.