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Finding the Fourth Proportional to 7,540.83, 11,308.62 and 3,097.23

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Solution

The fourth proportional to 7,540.83, 11,308.62 and 3,097.23 is: 4,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.83 : 11,308.62 = 3,097.23 : x
  2. Step 2: Convert to fraction form
    7,540.83/11,308.62 = 3,097.23/x
  3. Step 3: Cross multiply
    7,540.83x = 11,308.62 × 3,097.23
  4. Step 4: Simplify right side
    7,540.83x = 35,025,397.12
  5. Step 5: Solve for x
    x = 35,025,397.12/7,540.83
  6. Step 6: Final answer
    x = 4,644.77

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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.