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Finding the Fourth Proportional to 11,164.21, 15,405.65 and 6,128.42

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Solution

The fourth proportional to 11,164.21, 15,405.65 and 6,128.42 is: 8,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.21 : 15,405.65 = 6,128.42 : x
  2. Step 2: Convert to fraction form
    11,164.21/15,405.65 = 6,128.42/x
  3. Step 3: Cross multiply
    11,164.21x = 15,405.65 × 6,128.42
  4. Step 4: Simplify right side
    11,164.21x = 94,412,208.88
  5. Step 5: Solve for x
    x = 94,412,208.88/11,164.21
  6. Step 6: Final answer
    x = 8,456.68

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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.