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Finding the Fourth Proportional to 7,758.33, 11,637.56 and 2,211.67

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Solution

The fourth proportional to 7,758.33, 11,637.56 and 2,211.67 is: 3,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.33 : 11,637.56 = 2,211.67 : x
  2. Step 2: Convert to fraction form
    7,758.33/11,637.56 = 2,211.67/x
  3. Step 3: Cross multiply
    7,758.33x = 11,637.56 × 2,211.67
  4. Step 4: Simplify right side
    7,758.33x = 25,738,449.96
  5. Step 5: Solve for x
    x = 25,738,449.96/7,758.33
  6. Step 6: Final answer
    x = 3,317.52

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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.