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Finding the Fourth Proportional to 7,027.63, 10,542.05 and 1,833.50

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Solution

The fourth proportional to 7,027.63, 10,542.05 and 1,833.50 is: 2,750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.63 : 10,542.05 = 1,833.50 : x
  2. Step 2: Convert to fraction form
    7,027.63/10,542.05 = 1,833.50/x
  3. Step 3: Cross multiply
    7,027.63x = 10,542.05 × 1,833.50
  4. Step 4: Simplify right side
    7,027.63x = 19,328,839.51
  5. Step 5: Solve for x
    x = 19,328,839.51/7,027.63
  6. Step 6: Final answer
    x = 2,750.41

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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.