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Finding the Fourth Proportional to 10,744.56, 14,826.36 and 6,029.36

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Solution

The fourth proportional to 10,744.56, 14,826.36 and 6,029.36 is: 8,319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.56 : 14,826.36 = 6,029.36 : x
  2. Step 2: Convert to fraction form
    10,744.56/14,826.36 = 6,029.36/x
  3. Step 3: Cross multiply
    10,744.56x = 14,826.36 × 6,029.36
  4. Step 4: Simplify right side
    10,744.56x = 89,393,461.93
  5. Step 5: Solve for x
    x = 89,393,461.93/10,744.56
  6. Step 6: Final answer
    x = 8,319.88

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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.