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Finding the Fourth Proportional to 7,609.30, 11,433.15 and 4,837.30

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Solution

The fourth proportional to 7,609.30, 11,433.15 and 4,837.30 is: 7,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.30 : 11,433.15 = 4,837.30 : x
  2. Step 2: Convert to fraction form
    7,609.30/11,433.15 = 4,837.30/x
  3. Step 3: Cross multiply
    7,609.30x = 11,433.15 × 4,837.30
  4. Step 4: Simplify right side
    7,609.30x = 55,305,576.50
  5. Step 5: Solve for x
    x = 55,305,576.50/7,609.30
  6. Step 6: Final answer
    x = 7,268.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.