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Finding the Fourth Proportional to 10,116.48, 13,954.72 and 7,874.80

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Solution

The fourth proportional to 10,116.48, 13,954.72 and 7,874.80 is: 10,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.48 : 13,954.72 = 7,874.80 : x
  2. Step 2: Convert to fraction form
    10,116.48/13,954.72 = 7,874.80/x
  3. Step 3: Cross multiply
    10,116.48x = 13,954.72 × 7,874.80
  4. Step 4: Simplify right side
    10,116.48x = 109,890,629.06
  5. Step 5: Solve for x
    x = 109,890,629.06/10,116.48
  6. Step 6: Final answer
    x = 10,862.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.