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Finding the Fourth Proportional to 11,089, 16,634.58 and 4,933

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Solution

The fourth proportional to 11,089, 16,634.58 and 4,933 is: 7,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,089 : 16,634.58 = 4,933 : x
  2. Step 2: Convert to fraction form
    11,089/16,634.58 = 4,933/x
  3. Step 3: Cross multiply
    11,089x = 16,634.58 × 4,933
  4. Step 4: Simplify right side
    11,089x = 82,058,383.14
  5. Step 5: Solve for x
    x = 82,058,383.14/11,089
  6. Step 6: Final answer
    x = 7,399.98

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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.