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Finding the Fourth Proportional to 12,056, 16,632.64 and 7,577.92

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Solution

The fourth proportional to 12,056, 16,632.64 and 7,577.92 is: 10,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056 : 16,632.64 = 7,577.92 : x
  2. Step 2: Convert to fraction form
    12,056/16,632.64 = 7,577.92/x
  3. Step 3: Cross multiply
    12,056x = 16,632.64 × 7,577.92
  4. Step 4: Simplify right side
    12,056x = 126,040,815.31
  5. Step 5: Solve for x
    x = 126,040,815.31/12,056
  6. Step 6: Final answer
    x = 10,454.61

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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.