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Finding the Fourth Proportional to 11,164.92, 15,405.84 and 6,448.38

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Solution

The fourth proportional to 11,164.92, 15,405.84 and 6,448.38 is: 8,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.92 : 15,405.84 = 6,448.38 : x
  2. Step 2: Convert to fraction form
    11,164.92/15,405.84 = 6,448.38/x
  3. Step 3: Cross multiply
    11,164.92x = 15,405.84 × 6,448.38
  4. Step 4: Simplify right side
    11,164.92x = 99,342,710.54
  5. Step 5: Solve for x
    x = 99,342,710.54/11,164.92
  6. Step 6: Final answer
    x = 8,897.75

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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.