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Finding the Fourth Proportional to 8,727.42, 13,113 and 8,202.54

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Solution

The fourth proportional to 8,727.42, 13,113 and 8,202.54 is: 12,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,727.42 : 13,113 = 8,202.54 : x
  2. Step 2: Convert to fraction form
    8,727.42/13,113 = 8,202.54/x
  3. Step 3: Cross multiply
    8,727.42x = 13,113 × 8,202.54
  4. Step 4: Simplify right side
    8,727.42x = 107,559,907.02
  5. Step 5: Solve for x
    x = 107,559,907.02/8,727.42
  6. Step 6: Final answer
    x = 12,324.36

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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.