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Finding the Fourth Proportional to 11,102.86, 16,654.42 and 6,420.03

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Solution

The fourth proportional to 11,102.86, 16,654.42 and 6,420.03 is: 9,630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.86 : 16,654.42 = 6,420.03 : x
  2. Step 2: Convert to fraction form
    11,102.86/16,654.42 = 6,420.03/x
  3. Step 3: Cross multiply
    11,102.86x = 16,654.42 × 6,420.03
  4. Step 4: Simplify right side
    11,102.86x = 106,921,876.03
  5. Step 5: Solve for x
    x = 106,921,876.03/11,102.86
  6. Step 6: Final answer
    x = 9,630.12

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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.