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Finding the Fourth Proportional to 12,889.83, 17,787.12 and 7,583.62

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Solution

The fourth proportional to 12,889.83, 17,787.12 and 7,583.62 is: 10,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.83 : 17,787.12 = 7,583.62 : x
  2. Step 2: Convert to fraction form
    12,889.83/17,787.12 = 7,583.62/x
  3. Step 3: Cross multiply
    12,889.83x = 17,787.12 × 7,583.62
  4. Step 4: Simplify right side
    12,889.83x = 134,890,758.97
  5. Step 5: Solve for x
    x = 134,890,758.97/12,889.83
  6. Step 6: Final answer
    x = 10,464.90

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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.