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Finding the Fourth Proportional to 8,274.64, 12,414.48 and 3,343.36

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Solution

The fourth proportional to 8,274.64, 12,414.48 and 3,343.36 is: 5,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.64 : 12,414.48 = 3,343.36 : x
  2. Step 2: Convert to fraction form
    8,274.64/12,414.48 = 3,343.36/x
  3. Step 3: Cross multiply
    8,274.64x = 12,414.48 × 3,343.36
  4. Step 4: Simplify right side
    8,274.64x = 41,506,075.85
  5. Step 5: Solve for x
    x = 41,506,075.85/8,274.64
  6. Step 6: Final answer
    x = 5,016.06

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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.