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Finding the Fourth Proportional to 12,166.28, 16,789.47 and 6,577.28

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Solution

The fourth proportional to 12,166.28, 16,789.47 and 6,577.28 is: 9,076.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.28 : 16,789.47 = 6,577.28 : x
  2. Step 2: Convert to fraction form
    12,166.28/16,789.47 = 6,577.28/x
  3. Step 3: Cross multiply
    12,166.28x = 16,789.47 × 6,577.28
  4. Step 4: Simplify right side
    12,166.28x = 110,429,045.24
  5. Step 5: Solve for x
    x = 110,429,045.24/12,166.28
  6. Step 6: Final answer
    x = 9,076.65

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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.