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Finding the Fourth Proportional to 8,713.24, 13,061.93 and 3,164.20

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Solution

The fourth proportional to 8,713.24, 13,061.93 and 3,164.20 is: 4,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.24 : 13,061.93 = 3,164.20 : x
  2. Step 2: Convert to fraction form
    8,713.24/13,061.93 = 3,164.20/x
  3. Step 3: Cross multiply
    8,713.24x = 13,061.93 × 3,164.20
  4. Step 4: Simplify right side
    8,713.24x = 41,330,493.60
  5. Step 5: Solve for x
    x = 41,330,493.60/8,713.24
  6. Step 6: Final answer
    x = 4,743.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.