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Finding the Fourth Proportional to 8,809.56, 13,216.30 and 2,966

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Solution

The fourth proportional to 8,809.56, 13,216.30 and 2,966 is: 4,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,809.56 : 13,216.30 = 2,966 : x
  2. Step 2: Convert to fraction form
    8,809.56/13,216.30 = 2,966/x
  3. Step 3: Cross multiply
    8,809.56x = 13,216.30 × 2,966
  4. Step 4: Simplify right side
    8,809.56x = 39,199,545.80
  5. Step 5: Solve for x
    x = 39,199,545.80/8,809.56
  6. Step 6: Final answer
    x = 4,449.66

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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.