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Finding the Fourth Proportional to 8,435.52, 12,625.74 and 7,627.14

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Solution

The fourth proportional to 8,435.52, 12,625.74 and 7,627.14 is: 11,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.52 : 12,625.74 = 7,627.14 : x
  2. Step 2: Convert to fraction form
    8,435.52/12,625.74 = 7,627.14/x
  3. Step 3: Cross multiply
    8,435.52x = 12,625.74 × 7,627.14
  4. Step 4: Simplify right side
    8,435.52x = 96,298,286.58
  5. Step 5: Solve for x
    x = 96,298,286.58/8,435.52
  6. Step 6: Final answer
    x = 11,415.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.