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Finding the Fourth Proportional to 8,012.46, 12,016.53 and 3,625.50

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Solution

The fourth proportional to 8,012.46, 12,016.53 and 3,625.50 is: 5,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.46 : 12,016.53 = 3,625.50 : x
  2. Step 2: Convert to fraction form
    8,012.46/12,016.53 = 3,625.50/x
  3. Step 3: Cross multiply
    8,012.46x = 12,016.53 × 3,625.50
  4. Step 4: Simplify right side
    8,012.46x = 43,565,929.52
  5. Step 5: Solve for x
    x = 43,565,929.52/8,012.46
  6. Step 6: Final answer
    x = 5,437.27

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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.