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Finding the Fourth Proportional to 8,005.12, 11,043.56 and 7,634.54

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Solution

The fourth proportional to 8,005.12, 11,043.56 and 7,634.54 is: 10,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.12 : 11,043.56 = 7,634.54 : x
  2. Step 2: Convert to fraction form
    8,005.12/11,043.56 = 7,634.54/x
  3. Step 3: Cross multiply
    8,005.12x = 11,043.56 × 7,634.54
  4. Step 4: Simplify right side
    8,005.12x = 84,312,500.56
  5. Step 5: Solve for x
    x = 84,312,500.56/8,005.12
  6. Step 6: Final answer
    x = 10,532.32

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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.