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Finding the Fourth Proportional to 7,683.25, 11,522.31 and 3,002.05

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Solution

The fourth proportional to 7,683.25, 11,522.31 and 3,002.05 is: 4,502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.25 : 11,522.31 = 3,002.05 : x
  2. Step 2: Convert to fraction form
    7,683.25/11,522.31 = 3,002.05/x
  3. Step 3: Cross multiply
    7,683.25x = 11,522.31 × 3,002.05
  4. Step 4: Simplify right side
    7,683.25x = 34,590,478.11
  5. Step 5: Solve for x
    x = 34,590,478.11/7,683.25
  6. Step 6: Final answer
    x = 4,502.07

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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.