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Finding the Fourth Proportional to 8,549.30, 12,823.22 and 2,705.06

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Solution

The fourth proportional to 8,549.30, 12,823.22 and 2,705.06 is: 4,057.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.30 : 12,823.22 = 2,705.06 : x
  2. Step 2: Convert to fraction form
    8,549.30/12,823.22 = 2,705.06/x
  3. Step 3: Cross multiply
    8,549.30x = 12,823.22 × 2,705.06
  4. Step 4: Simplify right side
    8,549.30x = 34,687,579.49
  5. Step 5: Solve for x
    x = 34,687,579.49/8,549.30
  6. Step 6: Final answer
    x = 4,057.36

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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.