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Finding the Fourth Proportional to 11,700.80, 16,143.36 and 8,344.16

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Solution

The fourth proportional to 11,700.80, 16,143.36 and 8,344.16 is: 11,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.80 : 16,143.36 = 8,344.16 : x
  2. Step 2: Convert to fraction form
    11,700.80/16,143.36 = 8,344.16/x
  3. Step 3: Cross multiply
    11,700.80x = 16,143.36 × 8,344.16
  4. Step 4: Simplify right side
    11,700.80x = 134,702,778.78
  5. Step 5: Solve for x
    x = 134,702,778.78/11,700.80
  6. Step 6: Final answer
    x = 11,512.27

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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.