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Finding the Fourth Proportional to 10,468.86, 15,716.63 and 6,786.50

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Solution

The fourth proportional to 10,468.86, 15,716.63 and 6,786.50 is: 10,188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.86 : 15,716.63 = 6,786.50 : x
  2. Step 2: Convert to fraction form
    10,468.86/15,716.63 = 6,786.50/x
  3. Step 3: Cross multiply
    10,468.86x = 15,716.63 × 6,786.50
  4. Step 4: Simplify right side
    10,468.86x = 106,660,796.98
  5. Step 5: Solve for x
    x = 106,660,796.98/10,468.86
  6. Step 6: Final answer
    x = 10,188.39

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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.