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Finding the Fourth Proportional to 7,556.32, 10,427.54 and 4,199.14

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Solution

The fourth proportional to 7,556.32, 10,427.54 and 4,199.14 is: 5,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,556.32 : 10,427.54 = 4,199.14 : x
  2. Step 2: Convert to fraction form
    7,556.32/10,427.54 = 4,199.14/x
  3. Step 3: Cross multiply
    7,556.32x = 10,427.54 × 4,199.14
  4. Step 4: Simplify right side
    7,556.32x = 43,786,692.35
  5. Step 5: Solve for x
    x = 43,786,692.35/7,556.32
  6. Step 6: Final answer
    x = 5,794.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.