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Finding the Fourth Proportional to 11,964.96, 16,512 and 6,587.67

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Solution

The fourth proportional to 11,964.96, 16,512 and 6,587.67 is: 9,091.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.96 : 16,512 = 6,587.67 : x
  2. Step 2: Convert to fraction form
    11,964.96/16,512 = 6,587.67/x
  3. Step 3: Cross multiply
    11,964.96x = 16,512 × 6,587.67
  4. Step 4: Simplify right side
    11,964.96x = 108,775,607.04
  5. Step 5: Solve for x
    x = 108,775,607.04/11,964.96
  6. Step 6: Final answer
    x = 9,091.18

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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.