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Finding the Fourth Proportional to 10,744.28, 14,827.86 and 6,028.76

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Solution

The fourth proportional to 10,744.28, 14,827.86 and 6,028.76 is: 8,320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.28 : 14,827.86 = 6,028.76 : x
  2. Step 2: Convert to fraction form
    10,744.28/14,827.86 = 6,028.76/x
  3. Step 3: Cross multiply
    10,744.28x = 14,827.86 × 6,028.76
  4. Step 4: Simplify right side
    10,744.28x = 89,393,609.25
  5. Step 5: Solve for x
    x = 89,393,609.25/10,744.28
  6. Step 6: Final answer
    x = 8,320.11

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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.