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Finding the Fourth Proportional to 7,817.95, 11,728.05 and 2,551.66

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Solution

The fourth proportional to 7,817.95, 11,728.05 and 2,551.66 is: 3,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.95 : 11,728.05 = 2,551.66 : x
  2. Step 2: Convert to fraction form
    7,817.95/11,728.05 = 2,551.66/x
  3. Step 3: Cross multiply
    7,817.95x = 11,728.05 × 2,551.66
  4. Step 4: Simplify right side
    7,817.95x = 29,925,996.06
  5. Step 5: Solve for x
    x = 29,925,996.06/7,817.95
  6. Step 6: Final answer
    x = 3,827.86

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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.