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Finding the Fourth Proportional to 11,866.63, 17,800.96 and 3,101.54

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Solution

The fourth proportional to 11,866.63, 17,800.96 and 3,101.54 is: 4,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.63 : 17,800.96 = 3,101.54 : x
  2. Step 2: Convert to fraction form
    11,866.63/17,800.96 = 3,101.54/x
  3. Step 3: Cross multiply
    11,866.63x = 17,800.96 × 3,101.54
  4. Step 4: Simplify right side
    11,866.63x = 55,210,292.72
  5. Step 5: Solve for x
    x = 55,210,292.72/11,866.63
  6. Step 6: Final answer
    x = 4,652.57

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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.