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Finding the Fourth Proportional to 11,189.52, 15,443.28 and 6,409.62

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Solution

The fourth proportional to 11,189.52, 15,443.28 and 6,409.62 is: 8,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.52 : 15,443.28 = 6,409.62 : x
  2. Step 2: Convert to fraction form
    11,189.52/15,443.28 = 6,409.62/x
  3. Step 3: Cross multiply
    11,189.52x = 15,443.28 × 6,409.62
  4. Step 4: Simplify right side
    11,189.52x = 98,985,556.35
  5. Step 5: Solve for x
    x = 98,985,556.35/11,189.52
  6. Step 6: Final answer
    x = 8,846.27

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