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Finding the Fourth Proportional to 11,941.47, 16,478.49 and 6,636.12

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Solution

The fourth proportional to 11,941.47, 16,478.49 and 6,636.12 is: 9,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941.47 : 16,478.49 = 6,636.12 : x
  2. Step 2: Convert to fraction form
    11,941.47/16,478.49 = 6,636.12/x
  3. Step 3: Cross multiply
    11,941.47x = 16,478.49 × 6,636.12
  4. Step 4: Simplify right side
    11,941.47x = 109,353,237.06
  5. Step 5: Solve for x
    x = 109,353,237.06/11,941.47
  6. Step 6: Final answer
    x = 9,157.44

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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.