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Finding the Fourth Proportional to 8,536.02, 12,805.77 and 4,839.90

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Solution

The fourth proportional to 8,536.02, 12,805.77 and 4,839.90 is: 7,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.02 : 12,805.77 = 4,839.90 : x
  2. Step 2: Convert to fraction form
    8,536.02/12,805.77 = 4,839.90/x
  3. Step 3: Cross multiply
    8,536.02x = 12,805.77 × 4,839.90
  4. Step 4: Simplify right side
    8,536.02x = 61,978,646.22
  5. Step 5: Solve for x
    x = 61,978,646.22/8,536.02
  6. Step 6: Final answer
    x = 7,260.84

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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.