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Finding the Fourth Proportional to 8,519.58, 12,769.65 and 5,235.03

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Solution

The fourth proportional to 8,519.58, 12,769.65 and 5,235.03 is: 7,846.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.58 : 12,769.65 = 5,235.03 : x
  2. Step 2: Convert to fraction form
    8,519.58/12,769.65 = 5,235.03/x
  3. Step 3: Cross multiply
    8,519.58x = 12,769.65 × 5,235.03
  4. Step 4: Simplify right side
    8,519.58x = 66,849,500.84
  5. Step 5: Solve for x
    x = 66,849,500.84/8,519.58
  6. Step 6: Final answer
    x = 7,846.57

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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.