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Finding the Fourth Proportional to 7,538.83, 11,308.02 and 3,096.34

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Solution

The fourth proportional to 7,538.83, 11,308.02 and 3,096.34 is: 4,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.83 : 11,308.02 = 3,096.34 : x
  2. Step 2: Convert to fraction form
    7,538.83/11,308.02 = 3,096.34/x
  3. Step 3: Cross multiply
    7,538.83x = 11,308.02 × 3,096.34
  4. Step 4: Simplify right side
    7,538.83x = 35,013,474.65
  5. Step 5: Solve for x
    x = 35,013,474.65/7,538.83
  6. Step 6: Final answer
    x = 4,644.42

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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.