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Finding the Fourth Proportional to 11,771.45, 16,255.15 and 8,782.10

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Solution

The fourth proportional to 11,771.45, 16,255.15 and 8,782.10 is: 12,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.45 : 16,255.15 = 8,782.10 : x
  2. Step 2: Convert to fraction form
    11,771.45/16,255.15 = 8,782.10/x
  3. Step 3: Cross multiply
    11,771.45x = 16,255.15 × 8,782.10
  4. Step 4: Simplify right side
    11,771.45x = 142,754,249.58
  5. Step 5: Solve for x
    x = 142,754,249.58/11,771.45
  6. Step 6: Final answer
    x = 12,127.16

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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.