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Finding the Fourth Proportional to 6,905.16, 10,361.16 and 3,009

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Solution

The fourth proportional to 6,905.16, 10,361.16 and 3,009 is: 4,514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.16 : 10,361.16 = 3,009 : x
  2. Step 2: Convert to fraction form
    6,905.16/10,361.16 = 3,009/x
  3. Step 3: Cross multiply
    6,905.16x = 10,361.16 × 3,009
  4. Step 4: Simplify right side
    6,905.16x = 31,176,730.44
  5. Step 5: Solve for x
    x = 31,176,730.44/6,905.16
  6. Step 6: Final answer
    x = 4,514.99

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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.