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Finding the Fourth Proportional to 12,889.38, 17,787.40 and 7,515

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Solution

The fourth proportional to 12,889.38, 17,787.40 and 7,515 is: 10,370.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.38 : 17,787.40 = 7,515 : x
  2. Step 2: Convert to fraction form
    12,889.38/17,787.40 = 7,515/x
  3. Step 3: Cross multiply
    12,889.38x = 17,787.40 × 7,515
  4. Step 4: Simplify right side
    12,889.38x = 133,672,311.00
  5. Step 5: Solve for x
    x = 133,672,311.00/12,889.38
  6. Step 6: Final answer
    x = 10,370.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.