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Finding the Fourth Proportional to 7,060.81, 9,743.20 and 4,077.60

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Solution

The fourth proportional to 7,060.81, 9,743.20 and 4,077.60 is: 5,626.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,060.81 : 9,743.20 = 4,077.60 : x
  2. Step 2: Convert to fraction form
    7,060.81/9,743.20 = 4,077.60/x
  3. Step 3: Cross multiply
    7,060.81x = 9,743.20 × 4,077.60
  4. Step 4: Simplify right side
    7,060.81x = 39,728,872.32
  5. Step 5: Solve for x
    x = 39,728,872.32/7,060.81
  6. Step 6: Final answer
    x = 5,626.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.