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Finding the Fourth Proportional to 11,941.57, 16,478.22 and 6,636.07

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Solution

The fourth proportional to 11,941.57, 16,478.22 and 6,636.07 is: 9,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941.57 : 16,478.22 = 6,636.07 : x
  2. Step 2: Convert to fraction form
    11,941.57/16,478.22 = 6,636.07/x
  3. Step 3: Cross multiply
    11,941.57x = 16,478.22 × 6,636.07
  4. Step 4: Simplify right side
    11,941.57x = 109,350,621.40
  5. Step 5: Solve for x
    x = 109,350,621.40/11,941.57
  6. Step 6: Final answer
    x = 9,157.14

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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.