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Finding the Fourth Proportional to 11,654.54, 16,083.12 and 6,349.34

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Solution

The fourth proportional to 11,654.54, 16,083.12 and 6,349.34 is: 8,762.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.54 : 16,083.12 = 6,349.34 : x
  2. Step 2: Convert to fraction form
    11,654.54/16,083.12 = 6,349.34/x
  3. Step 3: Cross multiply
    11,654.54x = 16,083.12 × 6,349.34
  4. Step 4: Simplify right side
    11,654.54x = 102,117,197.14
  5. Step 5: Solve for x
    x = 102,117,197.14/11,654.54
  6. Step 6: Final answer
    x = 8,762.01

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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.