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Finding the Fourth Proportional to 8,893.62, 12,263.97 and 7,638.82

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Solution

The fourth proportional to 8,893.62, 12,263.97 and 7,638.82 is: 10,533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,893.62 : 12,263.97 = 7,638.82 : x
  2. Step 2: Convert to fraction form
    8,893.62/12,263.97 = 7,638.82/x
  3. Step 3: Cross multiply
    8,893.62x = 12,263.97 × 7,638.82
  4. Step 4: Simplify right side
    8,893.62x = 93,682,259.32
  5. Step 5: Solve for x
    x = 93,682,259.32/8,893.62
  6. Step 6: Final answer
    x = 10,533.65

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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.