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Finding the Fourth Proportional to 8,626.65, 12,938.55 and 2,782.50

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Solution

The fourth proportional to 8,626.65, 12,938.55 and 2,782.50 is: 4,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,626.65 : 12,938.55 = 2,782.50 : x
  2. Step 2: Convert to fraction form
    8,626.65/12,938.55 = 2,782.50/x
  3. Step 3: Cross multiply
    8,626.65x = 12,938.55 × 2,782.50
  4. Step 4: Simplify right side
    8,626.65x = 36,001,515.38
  5. Step 5: Solve for x
    x = 36,001,515.38/8,626.65
  6. Step 6: Final answer
    x = 4,173.29

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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.