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Finding the Fourth Proportional to 11,649.86, 17,390.31 and 10,782.65

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Solution

The fourth proportional to 11,649.86, 17,390.31 and 10,782.65 is: 16,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.86 : 17,390.31 = 10,782.65 : x
  2. Step 2: Convert to fraction form
    11,649.86/17,390.31 = 10,782.65/x
  3. Step 3: Cross multiply
    11,649.86x = 17,390.31 × 10,782.65
  4. Step 4: Simplify right side
    11,649.86x = 187,513,539.17
  5. Step 5: Solve for x
    x = 187,513,539.17/11,649.86
  6. Step 6: Final answer
    x = 16,095.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.