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Finding the Fourth Proportional to 12,166.75, 16,790.16 and 6,577.79

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Solution

The fourth proportional to 12,166.75, 16,790.16 and 6,577.79 is: 9,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.75 : 16,790.16 = 6,577.79 : x
  2. Step 2: Convert to fraction form
    12,166.75/16,790.16 = 6,577.79/x
  3. Step 3: Cross multiply
    12,166.75x = 16,790.16 × 6,577.79
  4. Step 4: Simplify right side
    12,166.75x = 110,442,113.66
  5. Step 5: Solve for x
    x = 110,442,113.66/12,166.75
  6. Step 6: Final answer
    x = 9,077.37

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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.