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Finding the Fourth Proportional to 10,744.56, 14,827.04 and 6,028.80

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Solution

The fourth proportional to 10,744.56, 14,827.04 and 6,028.80 is: 8,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.56 : 14,827.04 = 6,028.80 : x
  2. Step 2: Convert to fraction form
    10,744.56/14,827.04 = 6,028.80/x
  3. Step 3: Cross multiply
    10,744.56x = 14,827.04 × 6,028.80
  4. Step 4: Simplify right side
    10,744.56x = 89,389,258.75
  5. Step 5: Solve for x
    x = 89,389,258.75/10,744.56
  6. Step 6: Final answer
    x = 8,319.49

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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.