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Finding the Fourth Proportional to 10,453.36, 14,426.06 and 5,737.56

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Solution

The fourth proportional to 10,453.36, 14,426.06 and 5,737.56 is: 7,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.36 : 14,426.06 = 5,737.56 : x
  2. Step 2: Convert to fraction form
    10,453.36/14,426.06 = 5,737.56/x
  3. Step 3: Cross multiply
    10,453.36x = 14,426.06 × 5,737.56
  4. Step 4: Simplify right side
    10,453.36x = 82,770,384.81
  5. Step 5: Solve for x
    x = 82,770,384.81/10,453.36
  6. Step 6: Final answer
    x = 7,918.07

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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.