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Finding the Fourth Proportional to 10,716.71, 14,786.68 and 6,468.47

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Solution

The fourth proportional to 10,716.71, 14,786.68 and 6,468.47 is: 8,925.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.71 : 14,786.68 = 6,468.47 : x
  2. Step 2: Convert to fraction form
    10,716.71/14,786.68 = 6,468.47/x
  3. Step 3: Cross multiply
    10,716.71x = 14,786.68 × 6,468.47
  4. Step 4: Simplify right side
    10,716.71x = 95,647,195.98
  5. Step 5: Solve for x
    x = 95,647,195.98/10,716.71
  6. Step 6: Final answer
    x = 8,925.05

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Why These Related Problems?

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