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Finding the Fourth Proportional to 7,758.89, 11,638.55 and 2,832.20

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Solution

The fourth proportional to 7,758.89, 11,638.55 and 2,832.20 is: 4,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.89 : 11,638.55 = 2,832.20 : x
  2. Step 2: Convert to fraction form
    7,758.89/11,638.55 = 2,832.20/x
  3. Step 3: Cross multiply
    7,758.89x = 11,638.55 × 2,832.20
  4. Step 4: Simplify right side
    7,758.89x = 32,962,701.31
  5. Step 5: Solve for x
    x = 32,962,701.31/7,758.89
  6. Step 6: Final answer
    x = 4,248.38

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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.