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Finding the Fourth Proportional to 11,950.62, 16,498.71 and 7,978.46

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Solution

The fourth proportional to 11,950.62, 16,498.71 and 7,978.46 is: 11,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950.62 : 16,498.71 = 7,978.46 : x
  2. Step 2: Convert to fraction form
    11,950.62/16,498.71 = 7,978.46/x
  3. Step 3: Cross multiply
    11,950.62x = 16,498.71 × 7,978.46
  4. Step 4: Simplify right side
    11,950.62x = 131,634,297.79
  5. Step 5: Solve for x
    x = 131,634,297.79/11,950.62
  6. Step 6: Final answer
    x = 11,014.85

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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.