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Finding the Fourth Proportional to 10,604.46, 14,629.14 and 7,251.96

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Solution

The fourth proportional to 10,604.46, 14,629.14 and 7,251.96 is: 10,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.46 : 14,629.14 = 7,251.96 : x
  2. Step 2: Convert to fraction form
    10,604.46/14,629.14 = 7,251.96/x
  3. Step 3: Cross multiply
    10,604.46x = 14,629.14 × 7,251.96
  4. Step 4: Simplify right side
    10,604.46x = 106,089,938.11
  5. Step 5: Solve for x
    x = 106,089,938.11/10,604.46
  6. Step 6: Final answer
    x = 10,004.28

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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.