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Finding the Fourth Proportional to 11,950.12, 16,498.02 and 7,977.96

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Solution

The fourth proportional to 11,950.12, 16,498.02 and 7,977.96 is: 11,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950.12 : 16,498.02 = 7,977.96 : x
  2. Step 2: Convert to fraction form
    11,950.12/16,498.02 = 7,977.96/x
  3. Step 3: Cross multiply
    11,950.12x = 16,498.02 × 7,977.96
  4. Step 4: Simplify right side
    11,950.12x = 131,620,543.64
  5. Step 5: Solve for x
    x = 131,620,543.64/11,950.12
  6. Step 6: Final answer
    x = 11,014.16

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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.