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Finding the Fourth Proportional to 8,626.50, 12,938.94 and 2,783.16

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Solution

The fourth proportional to 8,626.50, 12,938.94 and 2,783.16 is: 4,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,626.50 : 12,938.94 = 2,783.16 : x
  2. Step 2: Convert to fraction form
    8,626.50/12,938.94 = 2,783.16/x
  3. Step 3: Cross multiply
    8,626.50x = 12,938.94 × 2,783.16
  4. Step 4: Simplify right side
    8,626.50x = 36,011,140.25
  5. Step 5: Solve for x
    x = 36,011,140.25/8,626.50
  6. Step 6: Final answer
    x = 4,174.48

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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.