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Finding the Fourth Proportional to 10,576.98, 14,579.46 and 8,335.44

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Solution

The fourth proportional to 10,576.98, 14,579.46 and 8,335.44 is: 11,489.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.98 : 14,579.46 = 8,335.44 : x
  2. Step 2: Convert to fraction form
    10,576.98/14,579.46 = 8,335.44/x
  3. Step 3: Cross multiply
    10,576.98x = 14,579.46 × 8,335.44
  4. Step 4: Simplify right side
    10,576.98x = 121,526,214.06
  5. Step 5: Solve for x
    x = 121,526,214.06/10,576.98
  6. Step 6: Final answer
    x = 11,489.69

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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.