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Finding the Fourth Proportional to 11,784.42, 16,262.82 and 6,479.38

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Solution

The fourth proportional to 11,784.42, 16,262.82 and 6,479.38 is: 8,941.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.42 : 16,262.82 = 6,479.38 : x
  2. Step 2: Convert to fraction form
    11,784.42/16,262.82 = 6,479.38/x
  3. Step 3: Cross multiply
    11,784.42x = 16,262.82 × 6,479.38
  4. Step 4: Simplify right side
    11,784.42x = 105,372,990.65
  5. Step 5: Solve for x
    x = 105,372,990.65/11,784.42
  6. Step 6: Final answer
    x = 8,941.72

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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.