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Finding the Fourth Proportional to 6,709.14, 10,056.15 and 3,005.82

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Solution

The fourth proportional to 6,709.14, 10,056.15 and 3,005.82 is: 4,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.14 : 10,056.15 = 3,005.82 : x
  2. Step 2: Convert to fraction form
    6,709.14/10,056.15 = 3,005.82/x
  3. Step 3: Cross multiply
    6,709.14x = 10,056.15 × 3,005.82
  4. Step 4: Simplify right side
    6,709.14x = 30,226,976.79
  5. Step 5: Solve for x
    x = 30,226,976.79/6,709.14
  6. Step 6: Final answer
    x = 4,505.34

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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.