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Finding the Fourth Proportional to 11,787.30, 16,261.02 and 7,063.38

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Solution

The fourth proportional to 11,787.30, 16,261.02 and 7,063.38 is: 9,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.30 : 16,261.02 = 7,063.38 : x
  2. Step 2: Convert to fraction form
    11,787.30/16,261.02 = 7,063.38/x
  3. Step 3: Cross multiply
    11,787.30x = 16,261.02 × 7,063.38
  4. Step 4: Simplify right side
    11,787.30x = 114,857,763.45
  5. Step 5: Solve for x
    x = 114,857,763.45/11,787.30
  6. Step 6: Final answer
    x = 9,744.20

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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.