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Finding the Fourth Proportional to 7,758.40, 11,638.16 and 2,212.20

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Solution

The fourth proportional to 7,758.40, 11,638.16 and 2,212.20 is: 3,318.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.40 : 11,638.16 = 2,212.20 : x
  2. Step 2: Convert to fraction form
    7,758.40/11,638.16 = 2,212.20/x
  3. Step 3: Cross multiply
    7,758.40x = 11,638.16 × 2,212.20
  4. Step 4: Simplify right side
    7,758.40x = 25,745,937.55
  5. Step 5: Solve for x
    x = 25,745,937.55/7,758.40
  6. Step 6: Final answer
    x = 3,318.46

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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.