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Finding the Fourth Proportional to 10,450.29, 15,667.23 and 7,153.39

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Solution

The fourth proportional to 10,450.29, 15,667.23 and 7,153.39 is: 10,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.29 : 15,667.23 = 7,153.39 : x
  2. Step 2: Convert to fraction form
    10,450.29/15,667.23 = 7,153.39/x
  3. Step 3: Cross multiply
    10,450.29x = 15,667.23 × 7,153.39
  4. Step 4: Simplify right side
    10,450.29x = 112,073,806.41
  5. Step 5: Solve for x
    x = 112,073,806.41/10,450.29
  6. Step 6: Final answer
    x = 10,724.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.