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Finding the Fourth Proportional to 10,969.56, 15,121.83 and 7,772.98

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Solution

The fourth proportional to 10,969.56, 15,121.83 and 7,772.98 is: 10,715.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.56 : 15,121.83 = 7,772.98 : x
  2. Step 2: Convert to fraction form
    10,969.56/15,121.83 = 7,772.98/x
  3. Step 3: Cross multiply
    10,969.56x = 15,121.83 × 7,772.98
  4. Step 4: Simplify right side
    10,969.56x = 117,541,682.15
  5. Step 5: Solve for x
    x = 117,541,682.15/10,969.56
  6. Step 6: Final answer
    x = 10,715.26

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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.