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Finding the Fourth Proportional to 27,638.53, 41,457.80 and 6,862.03

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Solution

The fourth proportional to 27,638.53, 41,457.80 and 6,862.03 is: 10,293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.53 : 41,457.80 = 6,862.03 : x
  2. Step 2: Convert to fraction form
    27,638.53/41,457.80 = 6,862.03/x
  3. Step 3: Cross multiply
    27,638.53x = 41,457.80 × 6,862.03
  4. Step 4: Simplify right side
    27,638.53x = 284,484,667.33
  5. Step 5: Solve for x
    x = 284,484,667.33/27,638.53
  6. Step 6: Final answer
    x = 10,293.05

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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.