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Finding the Fourth Proportional to 8,152, 11,249.76 and 4,426.08

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Solution

The fourth proportional to 8,152, 11,249.76 and 4,426.08 is: 6,107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152 : 11,249.76 = 4,426.08 : x
  2. Step 2: Convert to fraction form
    8,152/11,249.76 = 4,426.08/x
  3. Step 3: Cross multiply
    8,152x = 11,249.76 × 4,426.08
  4. Step 4: Simplify right side
    8,152x = 49,792,337.74
  5. Step 5: Solve for x
    x = 49,792,337.74/8,152
  6. Step 6: Final answer
    x = 6,107.99

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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.