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Finding the Fourth Proportional to 10,141.03, 13,998.47 and 7,630.44

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Solution

The fourth proportional to 10,141.03, 13,998.47 and 7,630.44 is: 10,532.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.03 : 13,998.47 = 7,630.44 : x
  2. Step 2: Convert to fraction form
    10,141.03/13,998.47 = 7,630.44/x
  3. Step 3: Cross multiply
    10,141.03x = 13,998.47 × 7,630.44
  4. Step 4: Simplify right side
    10,141.03x = 106,814,504.50
  5. Step 5: Solve for x
    x = 106,814,504.50/10,141.03
  6. Step 6: Final answer
    x = 10,532.90

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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.