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Finding the Fourth Proportional to 10,323.81, 14,233.29 and 7,450.12

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Solution

The fourth proportional to 10,323.81, 14,233.29 and 7,450.12 is: 10,271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.81 : 14,233.29 = 7,450.12 : x
  2. Step 2: Convert to fraction form
    10,323.81/14,233.29 = 7,450.12/x
  3. Step 3: Cross multiply
    10,323.81x = 14,233.29 × 7,450.12
  4. Step 4: Simplify right side
    10,323.81x = 106,039,718.49
  5. Step 5: Solve for x
    x = 106,039,718.49/10,323.81
  6. Step 6: Final answer
    x = 10,271.37

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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.