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Finding the Fourth Proportional to 11,654.86, 17,482.47 and 6,493.54

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Solution

The fourth proportional to 11,654.86, 17,482.47 and 6,493.54 is: 9,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.86 : 17,482.47 = 6,493.54 : x
  2. Step 2: Convert to fraction form
    11,654.86/17,482.47 = 6,493.54/x
  3. Step 3: Cross multiply
    11,654.86x = 17,482.47 × 6,493.54
  4. Step 4: Simplify right side
    11,654.86x = 113,523,118.24
  5. Step 5: Solve for x
    x = 113,523,118.24/11,654.86
  6. Step 6: Final answer
    x = 9,740.41

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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.