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Finding the Fourth Proportional to 10,757.64, 16,133.50 and 7,628.40

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Solution

The fourth proportional to 10,757.64, 16,133.50 and 7,628.40 is: 11,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.64 : 16,133.50 = 7,628.40 : x
  2. Step 2: Convert to fraction form
    10,757.64/16,133.50 = 7,628.40/x
  3. Step 3: Cross multiply
    10,757.64x = 16,133.50 × 7,628.40
  4. Step 4: Simplify right side
    10,757.64x = 123,072,791.40
  5. Step 5: Solve for x
    x = 123,072,791.40/10,757.64
  6. Step 6: Final answer
    x = 11,440.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.