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Finding the Fourth Proportional to 10,222.56, 15,333.84 and 3,297.06

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Solution

The fourth proportional to 10,222.56, 15,333.84 and 3,297.06 is: 4,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.56 : 15,333.84 = 3,297.06 : x
  2. Step 2: Convert to fraction form
    10,222.56/15,333.84 = 3,297.06/x
  3. Step 3: Cross multiply
    10,222.56x = 15,333.84 × 3,297.06
  4. Step 4: Simplify right side
    10,222.56x = 50,556,590.51
  5. Step 5: Solve for x
    x = 50,556,590.51/10,222.56
  6. Step 6: Final answer
    x = 4,945.59

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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.