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Finding the Fourth Proportional to 10,072.37, 15,114.63 and 7,999.58

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Solution

The fourth proportional to 10,072.37, 15,114.63 and 7,999.58 is: 12,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.37 : 15,114.63 = 7,999.58 : x
  2. Step 2: Convert to fraction form
    10,072.37/15,114.63 = 7,999.58/x
  3. Step 3: Cross multiply
    10,072.37x = 15,114.63 × 7,999.58
  4. Step 4: Simplify right side
    10,072.37x = 120,910,674.62
  5. Step 5: Solve for x
    x = 120,910,674.62/10,072.37
  6. Step 6: Final answer
    x = 12,004.20

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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.