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Finding the Fourth Proportional to 10,716.47, 14,786.33 and 6,468.22

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Solution

The fourth proportional to 10,716.47, 14,786.33 and 6,468.22 is: 8,924.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.47 : 14,786.33 = 6,468.22 : x
  2. Step 2: Convert to fraction form
    10,716.47/14,786.33 = 6,468.22/x
  3. Step 3: Cross multiply
    10,716.47x = 14,786.33 × 6,468.22
  4. Step 4: Simplify right side
    10,716.47x = 95,641,161.50
  5. Step 5: Solve for x
    x = 95,641,161.50/10,716.47
  6. Step 6: Final answer
    x = 8,924.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.