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Finding the Fourth Proportional to 8,832.50, 13,242.57 and 4,447.56

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Solution

The fourth proportional to 8,832.50, 13,242.57 and 4,447.56 is: 6,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.50 : 13,242.57 = 4,447.56 : x
  2. Step 2: Convert to fraction form
    8,832.50/13,242.57 = 4,447.56/x
  3. Step 3: Cross multiply
    8,832.50x = 13,242.57 × 4,447.56
  4. Step 4: Simplify right side
    8,832.50x = 58,897,124.63
  5. Step 5: Solve for x
    x = 58,897,124.63/8,832.50
  6. Step 6: Final answer
    x = 6,668.23

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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.