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Finding the Fourth Proportional to 8,563.32, 12,837.42 and 8,047.08

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Solution

The fourth proportional to 8,563.32, 12,837.42 and 8,047.08 is: 12,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.32 : 12,837.42 = 8,047.08 : x
  2. Step 2: Convert to fraction form
    8,563.32/12,837.42 = 8,047.08/x
  3. Step 3: Cross multiply
    8,563.32x = 12,837.42 × 8,047.08
  4. Step 4: Simplify right side
    8,563.32x = 103,303,745.73
  5. Step 5: Solve for x
    x = 103,303,745.73/8,563.32
  6. Step 6: Final answer
    x = 12,063.52

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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.