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Finding the Fourth Proportional to 11,884.47, 17,827.21 and 4,489.50

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Solution

The fourth proportional to 11,884.47, 17,827.21 and 4,489.50 is: 6,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.47 : 17,827.21 = 4,489.50 : x
  2. Step 2: Convert to fraction form
    11,884.47/17,827.21 = 4,489.50/x
  3. Step 3: Cross multiply
    11,884.47x = 17,827.21 × 4,489.50
  4. Step 4: Simplify right side
    11,884.47x = 80,035,280.04
  5. Step 5: Solve for x
    x = 80,035,280.04/11,884.47
  6. Step 6: Final answer
    x = 6,734.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.