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Finding the Fourth Proportional to 6,074.58, 8,352.63 and 5,188.80

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Solution

The fourth proportional to 6,074.58, 8,352.63 and 5,188.80 is: 7,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.58 : 8,352.63 = 5,188.80 : x
  2. Step 2: Convert to fraction form
    6,074.58/8,352.63 = 5,188.80/x
  3. Step 3: Cross multiply
    6,074.58x = 8,352.63 × 5,188.80
  4. Step 4: Simplify right side
    6,074.58x = 43,340,126.54
  5. Step 5: Solve for x
    x = 43,340,126.54/6,074.58
  6. Step 6: Final answer
    x = 7,134.67

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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.