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Finding the Fourth Proportional to 7,683.60, 11,522.36 and 3,298

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Solution

The fourth proportional to 7,683.60, 11,522.36 and 3,298 is: 4,945.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.60 : 11,522.36 = 3,298 : x
  2. Step 2: Convert to fraction form
    7,683.60/11,522.36 = 3,298/x
  3. Step 3: Cross multiply
    7,683.60x = 11,522.36 × 3,298
  4. Step 4: Simplify right side
    7,683.60x = 38,000,743.28
  5. Step 5: Solve for x
    x = 38,000,743.28/7,683.60
  6. Step 6: Final answer
    x = 4,945.70

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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.