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Finding the Fourth Proportional to 27,678.40, 41,509.91 and 7,683.29

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Solution

The fourth proportional to 27,678.40, 41,509.91 and 7,683.29 is: 11,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,678.40 : 41,509.91 = 7,683.29 : x
  2. Step 2: Convert to fraction form
    27,678.40/41,509.91 = 7,683.29/x
  3. Step 3: Cross multiply
    27,678.40x = 41,509.91 × 7,683.29
  4. Step 4: Simplify right side
    27,678.40x = 318,932,637.99
  5. Step 5: Solve for x
    x = 318,932,637.99/27,678.40
  6. Step 6: Final answer
    x = 11,522.80

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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.