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Finding the Fourth Proportional to 7,673.12, 11,535.50 and 6,049.27

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Solution

The fourth proportional to 7,673.12, 11,535.50 and 6,049.27 is: 9,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.12 : 11,535.50 = 6,049.27 : x
  2. Step 2: Convert to fraction form
    7,673.12/11,535.50 = 6,049.27/x
  3. Step 3: Cross multiply
    7,673.12x = 11,535.50 × 6,049.27
  4. Step 4: Simplify right side
    7,673.12x = 69,781,354.09
  5. Step 5: Solve for x
    x = 69,781,354.09/7,673.12
  6. Step 6: Final answer
    x = 9,094.26

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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.