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Finding the Fourth Proportional to 7,683.44, 11,528.76 and 3,983.66

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Solution

The fourth proportional to 7,683.44, 11,528.76 and 3,983.66 is: 5,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.44 : 11,528.76 = 3,983.66 : x
  2. Step 2: Convert to fraction form
    7,683.44/11,528.76 = 3,983.66/x
  3. Step 3: Cross multiply
    7,683.44x = 11,528.76 × 3,983.66
  4. Step 4: Simplify right side
    7,683.44x = 45,926,602.42
  5. Step 5: Solve for x
    x = 45,926,602.42/7,683.44
  6. Step 6: Final answer
    x = 5,977.35

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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.