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Finding the Fourth Proportional to 10,103.30, 13,942.94 and 5,854.50

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Solution

The fourth proportional to 10,103.30, 13,942.94 and 5,854.50 is: 8,079.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.30 : 13,942.94 = 5,854.50 : x
  2. Step 2: Convert to fraction form
    10,103.30/13,942.94 = 5,854.50/x
  3. Step 3: Cross multiply
    10,103.30x = 13,942.94 × 5,854.50
  4. Step 4: Simplify right side
    10,103.30x = 81,628,912.96
  5. Step 5: Solve for x
    x = 81,628,912.96/10,103.30
  6. Step 6: Final answer
    x = 8,079.43

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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.