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Finding the Fourth Proportional to 11,604.21, 16,017.97 and 6,888.50

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Solution

The fourth proportional to 11,604.21, 16,017.97 and 6,888.50 is: 9,508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.21 : 16,017.97 = 6,888.50 : x
  2. Step 2: Convert to fraction form
    11,604.21/16,017.97 = 6,888.50/x
  3. Step 3: Cross multiply
    11,604.21x = 16,017.97 × 6,888.50
  4. Step 4: Simplify right side
    11,604.21x = 110,339,689.03
  5. Step 5: Solve for x
    x = 110,339,689.03/11,604.21
  6. Step 6: Final answer
    x = 9,508.59

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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.