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Finding the Fourth Proportional to 11,654.47, 17,487.78 and 4,632.99

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Solution

The fourth proportional to 11,654.47, 17,487.78 and 4,632.99 is: 6,951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.47 : 17,487.78 = 4,632.99 : x
  2. Step 2: Convert to fraction form
    11,654.47/17,487.78 = 4,632.99/x
  3. Step 3: Cross multiply
    11,654.47x = 17,487.78 × 4,632.99
  4. Step 4: Simplify right side
    11,654.47x = 81,020,709.86
  5. Step 5: Solve for x
    x = 81,020,709.86/11,654.47
  6. Step 6: Final answer
    x = 6,951.90

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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.