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Finding the Fourth Proportional to 8,074.94, 11,153.75 and 6,174.99

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Solution

The fourth proportional to 8,074.94, 11,153.75 and 6,174.99 is: 8,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.94 : 11,153.75 = 6,174.99 : x
  2. Step 2: Convert to fraction form
    8,074.94/11,153.75 = 6,174.99/x
  3. Step 3: Cross multiply
    8,074.94x = 11,153.75 × 6,174.99
  4. Step 4: Simplify right side
    8,074.94x = 68,874,294.71
  5. Step 5: Solve for x
    x = 68,874,294.71/8,074.94
  6. Step 6: Final answer
    x = 8,529.39

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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.