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Finding the Fourth Proportional to 10,749.88, 16,131.05 and 4,509.34

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Solution

The fourth proportional to 10,749.88, 16,131.05 and 4,509.34 is: 6,766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749.88 : 16,131.05 = 4,509.34 : x
  2. Step 2: Convert to fraction form
    10,749.88/16,131.05 = 4,509.34/x
  3. Step 3: Cross multiply
    10,749.88x = 16,131.05 × 4,509.34
  4. Step 4: Simplify right side
    10,749.88x = 72,740,389.01
  5. Step 5: Solve for x
    x = 72,740,389.01/10,749.88
  6. Step 6: Final answer
    x = 6,766.62

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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.