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Finding the Fourth Proportional to 8,242.02, 12,365.15 and 2,398.64

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Solution

The fourth proportional to 8,242.02, 12,365.15 and 2,398.64 is: 3,598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.02 : 12,365.15 = 2,398.64 : x
  2. Step 2: Convert to fraction form
    8,242.02/12,365.15 = 2,398.64/x
  3. Step 3: Cross multiply
    8,242.02x = 12,365.15 × 2,398.64
  4. Step 4: Simplify right side
    8,242.02x = 29,659,469.58
  5. Step 5: Solve for x
    x = 29,659,469.58/8,242.02
  6. Step 6: Final answer
    x = 3,598.57

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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.