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Finding the Fourth Proportional to 6,511.85, 8,986.37 and 3,527.67

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Solution

The fourth proportional to 6,511.85, 8,986.37 and 3,527.67 is: 4,868.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.85 : 8,986.37 = 3,527.67 : x
  2. Step 2: Convert to fraction form
    6,511.85/8,986.37 = 3,527.67/x
  3. Step 3: Cross multiply
    6,511.85x = 8,986.37 × 3,527.67
  4. Step 4: Simplify right side
    6,511.85x = 31,700,947.86
  5. Step 5: Solve for x
    x = 31,700,947.86/6,511.85
  6. Step 6: Final answer
    x = 4,868.19

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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.