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Finding the Fourth Proportional to 8,244, 12,364.56 and 3,048.48

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Solution

The fourth proportional to 8,244, 12,364.56 and 3,048.48 is: 4,572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244 : 12,364.56 = 3,048.48 : x
  2. Step 2: Convert to fraction form
    8,244/12,364.56 = 3,048.48/x
  3. Step 3: Cross multiply
    8,244x = 12,364.56 × 3,048.48
  4. Step 4: Simplify right side
    8,244x = 37,693,113.87
  5. Step 5: Solve for x
    x = 37,693,113.87/8,244
  6. Step 6: Final answer
    x = 4,572.19

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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.