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Finding the Fourth Proportional to 7,683.50, 11,522.68 and 3,002.30

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Solution

The fourth proportional to 7,683.50, 11,522.68 and 3,002.30 is: 4,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.50 : 11,522.68 = 3,002.30 : x
  2. Step 2: Convert to fraction form
    7,683.50/11,522.68 = 3,002.30/x
  3. Step 3: Cross multiply
    7,683.50x = 11,522.68 × 3,002.30
  4. Step 4: Simplify right side
    7,683.50x = 34,594,484.55
  5. Step 5: Solve for x
    x = 34,594,484.55/7,683.50
  6. Step 6: Final answer
    x = 4,502.44

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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.