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Finding the Fourth Proportional to 7,475.42, 11,213.13 and 3,525.76

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Solution

The fourth proportional to 7,475.42, 11,213.13 and 3,525.76 is: 5,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.42 : 11,213.13 = 3,525.76 : x
  2. Step 2: Convert to fraction form
    7,475.42/11,213.13 = 3,525.76/x
  3. Step 3: Cross multiply
    7,475.42x = 11,213.13 × 3,525.76
  4. Step 4: Simplify right side
    7,475.42x = 39,534,805.23
  5. Step 5: Solve for x
    x = 39,534,805.23/7,475.42
  6. Step 6: Final answer
    x = 5,288.64

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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.