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Finding the Fourth Proportional to 11,604.76, 16,014.66 and 6,823.42

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Solution

The fourth proportional to 11,604.76, 16,014.66 and 6,823.42 is: 9,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.76 : 16,014.66 = 6,823.42 : x
  2. Step 2: Convert to fraction form
    11,604.76/16,014.66 = 6,823.42/x
  3. Step 3: Cross multiply
    11,604.76x = 16,014.66 × 6,823.42
  4. Step 4: Simplify right side
    11,604.76x = 109,274,751.34
  5. Step 5: Solve for x
    x = 109,274,751.34/11,604.76
  6. Step 6: Final answer
    x = 9,416.37

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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.