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Finding the Fourth Proportional to 6,407.52, 8,846.46 and 5,231.40

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Solution

The fourth proportional to 6,407.52, 8,846.46 and 5,231.40 is: 7,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.52 : 8,846.46 = 5,231.40 : x
  2. Step 2: Convert to fraction form
    6,407.52/8,846.46 = 5,231.40/x
  3. Step 3: Cross multiply
    6,407.52x = 8,846.46 × 5,231.40
  4. Step 4: Simplify right side
    6,407.52x = 46,279,370.84
  5. Step 5: Solve for x
    x = 46,279,370.84/6,407.52
  6. Step 6: Final answer
    x = 7,222.67

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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.