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Finding the Fourth Proportional to 11,609.89, 16,023.02 and 6,894.18

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Solution

The fourth proportional to 11,609.89, 16,023.02 and 6,894.18 is: 9,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.89 : 16,023.02 = 6,894.18 : x
  2. Step 2: Convert to fraction form
    11,609.89/16,023.02 = 6,894.18/x
  3. Step 3: Cross multiply
    11,609.89x = 16,023.02 × 6,894.18
  4. Step 4: Simplify right side
    11,609.89x = 110,465,525.58
  5. Step 5: Solve for x
    x = 110,465,525.58/11,609.89
  6. Step 6: Final answer
    x = 9,514.77

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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.