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Finding the Fourth Proportional to 6,830.34, 10,244.72 and 4,020.86

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Solution

The fourth proportional to 6,830.34, 10,244.72 and 4,020.86 is: 6,030.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.34 : 10,244.72 = 4,020.86 : x
  2. Step 2: Convert to fraction form
    6,830.34/10,244.72 = 4,020.86/x
  3. Step 3: Cross multiply
    6,830.34x = 10,244.72 × 4,020.86
  4. Step 4: Simplify right side
    6,830.34x = 41,192,584.86
  5. Step 5: Solve for x
    x = 41,192,584.86/6,830.34
  6. Step 6: Final answer
    x = 6,030.82

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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.