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Finding the Fourth Proportional to 11,968.34, 16,512.04 and 6,929.81

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Solution

The fourth proportional to 11,968.34, 16,512.04 and 6,929.81 is: 9,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.34 : 16,512.04 = 6,929.81 : x
  2. Step 2: Convert to fraction form
    11,968.34/16,512.04 = 6,929.81/x
  3. Step 3: Cross multiply
    11,968.34x = 16,512.04 × 6,929.81
  4. Step 4: Simplify right side
    11,968.34x = 114,425,323.87
  5. Step 5: Solve for x
    x = 114,425,323.87/11,968.34
  6. Step 6: Final answer
    x = 9,560.67

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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.