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Finding the Fourth Proportional to 10,682.33, 16,006.16 and 6,509.67

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Solution

The fourth proportional to 10,682.33, 16,006.16 and 6,509.67 is: 9,753.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.33 : 16,006.16 = 6,509.67 : x
  2. Step 2: Convert to fraction form
    10,682.33/16,006.16 = 6,509.67/x
  3. Step 3: Cross multiply
    10,682.33x = 16,006.16 × 6,509.67
  4. Step 4: Simplify right side
    10,682.33x = 104,194,739.20
  5. Step 5: Solve for x
    x = 104,194,739.20/10,682.33
  6. Step 6: Final answer
    x = 9,753.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.