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Finding the Fourth Proportional to 6,906.51, 10,354.37 and 4,709.79

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Solution

The fourth proportional to 6,906.51, 10,354.37 and 4,709.79 is: 7,061.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.51 : 10,354.37 = 4,709.79 : x
  2. Step 2: Convert to fraction form
    6,906.51/10,354.37 = 4,709.79/x
  3. Step 3: Cross multiply
    6,906.51x = 10,354.37 × 4,709.79
  4. Step 4: Simplify right side
    6,906.51x = 48,766,884.73
  5. Step 5: Solve for x
    x = 48,766,884.73/6,906.51
  6. Step 6: Final answer
    x = 7,061.00

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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.