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Finding the Fourth Proportional to 7,758.02, 11,638.85 and 2,563.89

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Solution

The fourth proportional to 7,758.02, 11,638.85 and 2,563.89 is: 3,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.02 : 11,638.85 = 2,563.89 : x
  2. Step 2: Convert to fraction form
    7,758.02/11,638.85 = 2,563.89/x
  3. Step 3: Cross multiply
    7,758.02x = 11,638.85 × 2,563.89
  4. Step 4: Simplify right side
    7,758.02x = 29,840,731.13
  5. Step 5: Solve for x
    x = 29,840,731.13/7,758.02
  6. Step 6: Final answer
    x = 3,846.44

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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.