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Finding the Fourth Proportional to 8,574.78, 11,832.36 and 4,797.72

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Solution

The fourth proportional to 8,574.78, 11,832.36 and 4,797.72 is: 6,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.78 : 11,832.36 = 4,797.72 : x
  2. Step 2: Convert to fraction form
    8,574.78/11,832.36 = 4,797.72/x
  3. Step 3: Cross multiply
    8,574.78x = 11,832.36 × 4,797.72
  4. Step 4: Simplify right side
    8,574.78x = 56,768,350.22
  5. Step 5: Solve for x
    x = 56,768,350.22/8,574.78
  6. Step 6: Final answer
    x = 6,620.39

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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.