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Finding the Fourth Proportional to 11,712.90, 16,168.61 and 7,941.23

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Solution

The fourth proportional to 11,712.90, 16,168.61 and 7,941.23 is: 10,962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.90 : 16,168.61 = 7,941.23 : x
  2. Step 2: Convert to fraction form
    11,712.90/16,168.61 = 7,941.23/x
  3. Step 3: Cross multiply
    11,712.90x = 16,168.61 × 7,941.23
  4. Step 4: Simplify right side
    11,712.90x = 128,398,650.79
  5. Step 5: Solve for x
    x = 128,398,650.79/11,712.90
  6. Step 6: Final answer
    x = 10,962.16

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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.