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Finding the Fourth Proportional to 10,116.80, 13,958.88 and 5,923.04

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Solution

The fourth proportional to 10,116.80, 13,958.88 and 5,923.04 is: 8,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.80 : 13,958.88 = 5,923.04 : x
  2. Step 2: Convert to fraction form
    10,116.80/13,958.88 = 5,923.04/x
  3. Step 3: Cross multiply
    10,116.80x = 13,958.88 × 5,923.04
  4. Step 4: Simplify right side
    10,116.80x = 82,679,004.60
  5. Step 5: Solve for x
    x = 82,679,004.60/10,116.80
  6. Step 6: Final answer
    x = 8,172.45

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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.