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Finding the Fourth Proportional to 10,850.56, 14,969.34 and 7,072.34

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Solution

The fourth proportional to 10,850.56, 14,969.34 and 7,072.34 is: 9,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.56 : 14,969.34 = 7,072.34 : x
  2. Step 2: Convert to fraction form
    10,850.56/14,969.34 = 7,072.34/x
  3. Step 3: Cross multiply
    10,850.56x = 14,969.34 × 7,072.34
  4. Step 4: Simplify right side
    10,850.56x = 105,868,262.06
  5. Step 5: Solve for x
    x = 105,868,262.06/10,850.56
  6. Step 6: Final answer
    x = 9,756.94

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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.