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Finding the Fourth Proportional to 7,883.49, 11,827.98 and 3,504.03

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Solution

The fourth proportional to 7,883.49, 11,827.98 and 3,504.03 is: 5,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.49 : 11,827.98 = 3,504.03 : x
  2. Step 2: Convert to fraction form
    7,883.49/11,827.98 = 3,504.03/x
  3. Step 3: Cross multiply
    7,883.49x = 11,827.98 × 3,504.03
  4. Step 4: Simplify right side
    7,883.49x = 41,445,596.76
  5. Step 5: Solve for x
    x = 41,445,596.76/7,883.49
  6. Step 6: Final answer
    x = 5,257.27

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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.