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Finding the Fourth Proportional to 11,811.10, 16,301.11 and 8,973.82

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Solution

The fourth proportional to 11,811.10, 16,301.11 and 8,973.82 is: 12,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.10 : 16,301.11 = 8,973.82 : x
  2. Step 2: Convert to fraction form
    11,811.10/16,301.11 = 8,973.82/x
  3. Step 3: Cross multiply
    11,811.10x = 16,301.11 × 8,973.82
  4. Step 4: Simplify right side
    11,811.10x = 146,283,226.94
  5. Step 5: Solve for x
    x = 146,283,226.94/11,811.10
  6. Step 6: Final answer
    x = 12,385.23

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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.