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Finding the Fourth Proportional to 6,705.66, 10,048.22 and 3,586.11

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Solution

The fourth proportional to 6,705.66, 10,048.22 and 3,586.11 is: 5,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.66 : 10,048.22 = 3,586.11 : x
  2. Step 2: Convert to fraction form
    6,705.66/10,048.22 = 3,586.11/x
  3. Step 3: Cross multiply
    6,705.66x = 10,048.22 × 3,586.11
  4. Step 4: Simplify right side
    6,705.66x = 36,034,022.22
  5. Step 5: Solve for x
    x = 36,034,022.22/6,705.66
  6. Step 6: Final answer
    x = 5,373.67

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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.