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Finding the Fourth Proportional to 8,304.63, 11,454.51 and 4,944.84

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Solution

The fourth proportional to 8,304.63, 11,454.51 and 4,944.84 is: 6,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.63 : 11,454.51 = 4,944.84 : x
  2. Step 2: Convert to fraction form
    8,304.63/11,454.51 = 4,944.84/x
  3. Step 3: Cross multiply
    8,304.63x = 11,454.51 × 4,944.84
  4. Step 4: Simplify right side
    8,304.63x = 56,640,719.23
  5. Step 5: Solve for x
    x = 56,640,719.23/8,304.63
  6. Step 6: Final answer
    x = 6,820.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.