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Finding the Fourth Proportional to 10,838.04, 14,954.52 and 6,361.98

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Solution

The fourth proportional to 10,838.04, 14,954.52 and 6,361.98 is: 8,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.04 : 14,954.52 = 6,361.98 : x
  2. Step 2: Convert to fraction form
    10,838.04/14,954.52 = 6,361.98/x
  3. Step 3: Cross multiply
    10,838.04x = 14,954.52 × 6,361.98
  4. Step 4: Simplify right side
    10,838.04x = 95,140,357.15
  5. Step 5: Solve for x
    x = 95,140,357.15/10,838.04
  6. Step 6: Final answer
    x = 8,778.37

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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.