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Finding the Fourth Proportional to 6,523.16, 9,782.64 and 2,139.57

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Solution

The fourth proportional to 6,523.16, 9,782.64 and 2,139.57 is: 3,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.16 : 9,782.64 = 2,139.57 : x
  2. Step 2: Convert to fraction form
    6,523.16/9,782.64 = 2,139.57/x
  3. Step 3: Cross multiply
    6,523.16x = 9,782.64 × 2,139.57
  4. Step 4: Simplify right side
    6,523.16x = 20,930,643.06
  5. Step 5: Solve for x
    x = 20,930,643.06/6,523.16
  6. Step 6: Final answer
    x = 3,208.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.