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Finding the Fourth Proportional to 11,229.33, 15,496.54 and 6,193.68

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Solution

The fourth proportional to 11,229.33, 15,496.54 and 6,193.68 is: 8,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.33 : 15,496.54 = 6,193.68 : x
  2. Step 2: Convert to fraction form
    11,229.33/15,496.54 = 6,193.68/x
  3. Step 3: Cross multiply
    11,229.33x = 15,496.54 × 6,193.68
  4. Step 4: Simplify right side
    11,229.33x = 95,980,658.28
  5. Step 5: Solve for x
    x = 95,980,658.28/11,229.33
  6. Step 6: Final answer
    x = 8,547.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.