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Finding the Fourth Proportional to 8,574.39, 11,832.55 and 4,797.50

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Solution

The fourth proportional to 8,574.39, 11,832.55 and 4,797.50 is: 6,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.39 : 11,832.55 = 4,797.50 : x
  2. Step 2: Convert to fraction form
    8,574.39/11,832.55 = 4,797.50/x
  3. Step 3: Cross multiply
    8,574.39x = 11,832.55 × 4,797.50
  4. Step 4: Simplify right side
    8,574.39x = 56,766,587.47
  5. Step 5: Solve for x
    x = 56,766,587.47/8,574.39
  6. Step 6: Final answer
    x = 6,620.48

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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.