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Finding the Fourth Proportional to 6,906.89, 10,354.12 and 2,521.28

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Solution

The fourth proportional to 6,906.89, 10,354.12 and 2,521.28 is: 3,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.89 : 10,354.12 = 2,521.28 : x
  2. Step 2: Convert to fraction form
    6,906.89/10,354.12 = 2,521.28/x
  3. Step 3: Cross multiply
    6,906.89x = 10,354.12 × 2,521.28
  4. Step 4: Simplify right side
    6,906.89x = 26,105,635.67
  5. Step 5: Solve for x
    x = 26,105,635.67/6,906.89
  6. Step 6: Final answer
    x = 3,779.65

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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.