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Finding the Fourth Proportional to 10,200.46, 15,300.68 and 3,626.90

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Solution

The fourth proportional to 10,200.46, 15,300.68 and 3,626.90 is: 5,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.46 : 15,300.68 = 3,626.90 : x
  2. Step 2: Convert to fraction form
    10,200.46/15,300.68 = 3,626.90/x
  3. Step 3: Cross multiply
    10,200.46x = 15,300.68 × 3,626.90
  4. Step 4: Simplify right side
    10,200.46x = 55,494,083.61
  5. Step 5: Solve for x
    x = 55,494,083.61/10,200.46
  6. Step 6: Final answer
    x = 5,440.35

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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.