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Finding the Fourth Proportional to 11,289, 16,936.74 and 4,365.48

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Solution

The fourth proportional to 11,289, 16,936.74 and 4,365.48 is: 6,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289 : 16,936.74 = 4,365.48 : x
  2. Step 2: Convert to fraction form
    11,289/16,936.74 = 4,365.48/x
  3. Step 3: Cross multiply
    11,289x = 16,936.74 × 4,365.48
  4. Step 4: Simplify right side
    11,289x = 73,936,999.74
  5. Step 5: Solve for x
    x = 73,936,999.74/11,289
  6. Step 6: Final answer
    x = 6,549.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.