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Finding the Fourth Proportional to 7,627.50, 11,439.90 and 3,466.53

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Solution

The fourth proportional to 7,627.50, 11,439.90 and 3,466.53 is: 5,199.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.50 : 11,439.90 = 3,466.53 : x
  2. Step 2: Convert to fraction form
    7,627.50/11,439.90 = 3,466.53/x
  3. Step 3: Cross multiply
    7,627.50x = 11,439.90 × 3,466.53
  4. Step 4: Simplify right side
    7,627.50x = 39,656,756.55
  5. Step 5: Solve for x
    x = 39,656,756.55/7,627.50
  6. Step 6: Final answer
    x = 5,199.18

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Why These Related Problems?

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