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Finding the Fourth Proportional to 8,208.42, 12,318.03 and 3,014.34

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Solution

The fourth proportional to 8,208.42, 12,318.03 and 3,014.34 is: 4,523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.42 : 12,318.03 = 3,014.34 : x
  2. Step 2: Convert to fraction form
    8,208.42/12,318.03 = 3,014.34/x
  3. Step 3: Cross multiply
    8,208.42x = 12,318.03 × 3,014.34
  4. Step 4: Simplify right side
    8,208.42x = 37,130,730.55
  5. Step 5: Solve for x
    x = 37,130,730.55/8,208.42
  6. Step 6: Final answer
    x = 4,523.49

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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.