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Finding the Fourth Proportional to 8,582.50, 11,843.27 and 4,805.02

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Solution

The fourth proportional to 8,582.50, 11,843.27 and 4,805.02 is: 6,630.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.50 : 11,843.27 = 4,805.02 : x
  2. Step 2: Convert to fraction form
    8,582.50/11,843.27 = 4,805.02/x
  3. Step 3: Cross multiply
    8,582.50x = 11,843.27 × 4,805.02
  4. Step 4: Simplify right side
    8,582.50x = 56,907,149.22
  5. Step 5: Solve for x
    x = 56,907,149.22/8,582.50
  6. Step 6: Final answer
    x = 6,630.60

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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.