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Finding the Fourth Proportional to 10,363.57, 15,532.34 and 4,433.49

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Solution

The fourth proportional to 10,363.57, 15,532.34 and 4,433.49 is: 6,644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.57 : 15,532.34 = 4,433.49 : x
  2. Step 2: Convert to fraction form
    10,363.57/15,532.34 = 4,433.49/x
  3. Step 3: Cross multiply
    10,363.57x = 15,532.34 × 4,433.49
  4. Step 4: Simplify right side
    10,363.57x = 68,862,474.07
  5. Step 5: Solve for x
    x = 68,862,474.07/10,363.57
  6. Step 6: Final answer
    x = 6,644.67

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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.