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Finding the Fourth Proportional to 8,577.09, 12,866.67 and 3,029.30

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Solution

The fourth proportional to 8,577.09, 12,866.67 and 3,029.30 is: 4,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.09 : 12,866.67 = 3,029.30 : x
  2. Step 2: Convert to fraction form
    8,577.09/12,866.67 = 3,029.30/x
  3. Step 3: Cross multiply
    8,577.09x = 12,866.67 × 3,029.30
  4. Step 4: Simplify right side
    8,577.09x = 38,976,995.87
  5. Step 5: Solve for x
    x = 38,976,995.87/8,577.09
  6. Step 6: Final answer
    x = 4,544.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.