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Finding the Fourth Proportional to 11,317.68, 16,975.32 and 6,927.48

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Solution

The fourth proportional to 11,317.68, 16,975.32 and 6,927.48 is: 10,390.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,317.68 : 16,975.32 = 6,927.48 : x
  2. Step 2: Convert to fraction form
    11,317.68/16,975.32 = 6,927.48/x
  3. Step 3: Cross multiply
    11,317.68x = 16,975.32 × 6,927.48
  4. Step 4: Simplify right side
    11,317.68x = 117,596,189.79
  5. Step 5: Solve for x
    x = 117,596,189.79/11,317.68
  6. Step 6: Final answer
    x = 10,390.49

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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.