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Finding the Fourth Proportional to 10,361.40, 14,297.31 and 6,113.14

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Solution

The fourth proportional to 10,361.40, 14,297.31 and 6,113.14 is: 8,435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.40 : 14,297.31 = 6,113.14 : x
  2. Step 2: Convert to fraction form
    10,361.40/14,297.31 = 6,113.14/x
  3. Step 3: Cross multiply
    10,361.40x = 14,297.31 × 6,113.14
  4. Step 4: Simplify right side
    10,361.40x = 87,401,457.65
  5. Step 5: Solve for x
    x = 87,401,457.65/10,361.40
  6. Step 6: Final answer
    x = 8,435.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.