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Finding the Fourth Proportional to 10,744.00, 16,106.83 and 4,076.76

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Solution

The fourth proportional to 10,744.00, 16,106.83 and 4,076.76 is: 6,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.00 : 16,106.83 = 4,076.76 : x
  2. Step 2: Convert to fraction form
    10,744.00/16,106.83 = 4,076.76/x
  3. Step 3: Cross multiply
    10,744.00x = 16,106.83 × 4,076.76
  4. Step 4: Simplify right side
    10,744.00x = 65,663,730.48
  5. Step 5: Solve for x
    x = 65,663,730.48/10,744.00
  6. Step 6: Final answer
    x = 6,111.67

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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.