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Finding the Fourth Proportional to 6,134.96, 8,467.56 and 5,085.20

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Solution

The fourth proportional to 6,134.96, 8,467.56 and 5,085.20 is: 7,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.96 : 8,467.56 = 5,085.20 : x
  2. Step 2: Convert to fraction form
    6,134.96/8,467.56 = 5,085.20/x
  3. Step 3: Cross multiply
    6,134.96x = 8,467.56 × 5,085.20
  4. Step 4: Simplify right side
    6,134.96x = 43,059,236.11
  5. Step 5: Solve for x
    x = 43,059,236.11/6,134.96
  6. Step 6: Final answer
    x = 7,018.67

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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.