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Finding the Fourth Proportional to 8,554.74, 12,832.91 and 2,314.80

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Solution

The fourth proportional to 8,554.74, 12,832.91 and 2,314.80 is: 3,472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.74 : 12,832.91 = 2,314.80 : x
  2. Step 2: Convert to fraction form
    8,554.74/12,832.91 = 2,314.80/x
  3. Step 3: Cross multiply
    8,554.74x = 12,832.91 × 2,314.80
  4. Step 4: Simplify right side
    8,554.74x = 29,705,646.76
  5. Step 5: Solve for x
    x = 29,705,646.76/8,554.74
  6. Step 6: Final answer
    x = 3,472.42

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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.