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Finding the Fourth Proportional to 6,706.40, 10,061.76 and 2,811.84

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Solution

The fourth proportional to 6,706.40, 10,061.76 and 2,811.84 is: 4,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.40 : 10,061.76 = 2,811.84 : x
  2. Step 2: Convert to fraction form
    6,706.40/10,061.76 = 2,811.84/x
  3. Step 3: Cross multiply
    6,706.40x = 10,061.76 × 2,811.84
  4. Step 4: Simplify right side
    6,706.40x = 28,292,059.24
  5. Step 5: Solve for x
    x = 28,292,059.24/6,706.40
  6. Step 6: Final answer
    x = 4,218.67

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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.