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Finding the Fourth Proportional to 11,866.86, 17,800.30 and 4,846.87

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Solution

The fourth proportional to 11,866.86, 17,800.30 and 4,846.87 is: 7,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.86 : 17,800.30 = 4,846.87 : x
  2. Step 2: Convert to fraction form
    11,866.86/17,800.30 = 4,846.87/x
  3. Step 3: Cross multiply
    11,866.86x = 17,800.30 × 4,846.87
  4. Step 4: Simplify right side
    11,866.86x = 86,275,752.18
  5. Step 5: Solve for x
    x = 86,275,752.18/11,866.86
  6. Step 6: Final answer
    x = 7,270.31

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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.