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Finding the Fourth Proportional to 11,775.98, 17,666.22 and 3,880.77

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Solution

The fourth proportional to 11,775.98, 17,666.22 and 3,880.77 is: 5,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.98 : 17,666.22 = 3,880.77 : x
  2. Step 2: Convert to fraction form
    11,775.98/17,666.22 = 3,880.77/x
  3. Step 3: Cross multiply
    11,775.98x = 17,666.22 × 3,880.77
  4. Step 4: Simplify right side
    11,775.98x = 68,558,536.59
  5. Step 5: Solve for x
    x = 68,558,536.59/11,775.98
  6. Step 6: Final answer
    x = 5,821.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.