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Finding the Fourth Proportional to 10,682.79, 14,743.69 and 8,025.58

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Solution

The fourth proportional to 10,682.79, 14,743.69 and 8,025.58 is: 11,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.79 : 14,743.69 = 8,025.58 : x
  2. Step 2: Convert to fraction form
    10,682.79/14,743.69 = 8,025.58/x
  3. Step 3: Cross multiply
    10,682.79x = 14,743.69 × 8,025.58
  4. Step 4: Simplify right side
    10,682.79x = 118,326,661.96
  5. Step 5: Solve for x
    x = 118,326,661.96/10,682.79
  6. Step 6: Final answer
    x = 11,076.39

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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.