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Finding the Fourth Proportional to 8,764.46, 13,084.25 and 8,456.90

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Solution

The fourth proportional to 8,764.46, 13,084.25 and 8,456.90 is: 12,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.46 : 13,084.25 = 8,456.90 : x
  2. Step 2: Convert to fraction form
    8,764.46/13,084.25 = 8,456.90/x
  3. Step 3: Cross multiply
    8,764.46x = 13,084.25 × 8,456.90
  4. Step 4: Simplify right side
    8,764.46x = 110,652,086.12
  5. Step 5: Solve for x
    x = 110,652,086.12/8,764.46
  6. Step 6: Final answer
    x = 12,625.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.