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Finding the Fourth Proportional to 8,497.90, 12,744.42 and 3,302.56

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Solution

The fourth proportional to 8,497.90, 12,744.42 and 3,302.56 is: 4,952.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.90 : 12,744.42 = 3,302.56 : x
  2. Step 2: Convert to fraction form
    8,497.90/12,744.42 = 3,302.56/x
  3. Step 3: Cross multiply
    8,497.90x = 12,744.42 × 3,302.56
  4. Step 4: Simplify right side
    8,497.90x = 42,089,211.72
  5. Step 5: Solve for x
    x = 42,089,211.72/8,497.90
  6. Step 6: Final answer
    x = 4,952.90

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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.