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Finding the Fourth Proportional to 7,683.39, 11,523.42 and 3,001.91

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Solution

The fourth proportional to 7,683.39, 11,523.42 and 3,001.91 is: 4,502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.39 : 11,523.42 = 3,001.91 : x
  2. Step 2: Convert to fraction form
    7,683.39/11,523.42 = 3,001.91/x
  3. Step 3: Cross multiply
    7,683.39x = 11,523.42 × 3,001.91
  4. Step 4: Simplify right side
    7,683.39x = 34,592,212.12
  5. Step 5: Solve for x
    x = 34,592,212.12/7,683.39
  6. Step 6: Final answer
    x = 4,502.21

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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.