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Finding the Fourth Proportional to 8,201.48, 12,294.48 and 3,274.16

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Solution

The fourth proportional to 8,201.48, 12,294.48 and 3,274.16 is: 4,908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.48 : 12,294.48 = 3,274.16 : x
  2. Step 2: Convert to fraction form
    8,201.48/12,294.48 = 3,274.16/x
  3. Step 3: Cross multiply
    8,201.48x = 12,294.48 × 3,274.16
  4. Step 4: Simplify right side
    8,201.48x = 40,254,094.64
  5. Step 5: Solve for x
    x = 40,254,094.64/8,201.48
  6. Step 6: Final answer
    x = 4,908.15

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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.