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Finding the Fourth Proportional to 12,076.50, 16,664.61 and 7,295.47

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Solution

The fourth proportional to 12,076.50, 16,664.61 and 7,295.47 is: 10,067.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.50 : 16,664.61 = 7,295.47 : x
  2. Step 2: Convert to fraction form
    12,076.50/16,664.61 = 7,295.47/x
  3. Step 3: Cross multiply
    12,076.50x = 16,664.61 × 7,295.47
  4. Step 4: Simplify right side
    12,076.50x = 121,576,162.32
  5. Step 5: Solve for x
    x = 121,576,162.32/12,076.50
  6. Step 6: Final answer
    x = 10,067.17

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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.