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Finding the Fourth Proportional to 11,784.42, 16,262.82 and 6,479.57

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Solution

The fourth proportional to 11,784.42, 16,262.82 and 6,479.57 is: 8,941.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.42 : 16,262.82 = 6,479.57 : x
  2. Step 2: Convert to fraction form
    11,784.42/16,262.82 = 6,479.57/x
  3. Step 3: Cross multiply
    11,784.42x = 16,262.82 × 6,479.57
  4. Step 4: Simplify right side
    11,784.42x = 105,375,999.27
  5. Step 5: Solve for x
    x = 105,375,999.27/11,784.42
  6. Step 6: Final answer
    x = 8,941.98

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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.