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Finding the Fourth Proportional to 7,683.12, 11,522.52 and 5,233.68

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Solution

The fourth proportional to 7,683.12, 11,522.52 and 5,233.68 is: 7,849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.12 : 11,522.52 = 5,233.68 : x
  2. Step 2: Convert to fraction form
    7,683.12/11,522.52 = 5,233.68/x
  3. Step 3: Cross multiply
    7,683.12x = 11,522.52 × 5,233.68
  4. Step 4: Simplify right side
    7,683.12x = 60,305,182.47
  5. Step 5: Solve for x
    x = 60,305,182.47/7,683.12
  6. Step 6: Final answer
    x = 7,849.05

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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.