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Finding the Fourth Proportional to 8,896.21, 12,267.58 and 7,641.43

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Solution

The fourth proportional to 8,896.21, 12,267.58 and 7,641.43 is: 10,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.21 : 12,267.58 = 7,641.43 : x
  2. Step 2: Convert to fraction form
    8,896.21/12,267.58 = 7,641.43/x
  3. Step 3: Cross multiply
    8,896.21x = 12,267.58 × 7,641.43
  4. Step 4: Simplify right side
    8,896.21x = 93,741,853.84
  5. Step 5: Solve for x
    x = 93,741,853.84/8,896.21
  6. Step 6: Final answer
    x = 10,537.28

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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.