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Finding the Fourth Proportional to 7,758.38, 11,637.57 and 2,211.64

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Solution

The fourth proportional to 7,758.38, 11,637.57 and 2,211.64 is: 3,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.38 : 11,637.57 = 2,211.64 : x
  2. Step 2: Convert to fraction form
    7,758.38/11,637.57 = 2,211.64/x
  3. Step 3: Cross multiply
    7,758.38x = 11,637.57 × 2,211.64
  4. Step 4: Simplify right side
    7,758.38x = 25,738,057.13
  5. Step 5: Solve for x
    x = 25,738,057.13/7,758.38
  6. Step 6: Final answer
    x = 3,317.45

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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.