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Finding the Fourth Proportional to 6,082.46, 9,111.80 and 5,421.30

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Solution

The fourth proportional to 6,082.46, 9,111.80 and 5,421.30 is: 8,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.46 : 9,111.80 = 5,421.30 : x
  2. Step 2: Convert to fraction form
    6,082.46/9,111.80 = 5,421.30/x
  3. Step 3: Cross multiply
    6,082.46x = 9,111.80 × 5,421.30
  4. Step 4: Simplify right side
    6,082.46x = 49,397,801.34
  5. Step 5: Solve for x
    x = 49,397,801.34/6,082.46
  6. Step 6: Final answer
    x = 8,121.35

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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.