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Finding the Fourth Proportional to 8,502.50, 11,744.60 and 5,845.29

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Solution

The fourth proportional to 8,502.50, 11,744.60 and 5,845.29 is: 8,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.50 : 11,744.60 = 5,845.29 : x
  2. Step 2: Convert to fraction form
    8,502.50/11,744.60 = 5,845.29/x
  3. Step 3: Cross multiply
    8,502.50x = 11,744.60 × 5,845.29
  4. Step 4: Simplify right side
    8,502.50x = 68,650,563.71
  5. Step 5: Solve for x
    x = 68,650,563.71/8,502.50
  6. Step 6: Final answer
    x = 8,074.17

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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.