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Finding the Fourth Proportional to 11,773.72, 16,247.40 and 6,468.53

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Solution

The fourth proportional to 11,773.72, 16,247.40 and 6,468.53 is: 8,926.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.72 : 16,247.40 = 6,468.53 : x
  2. Step 2: Convert to fraction form
    11,773.72/16,247.40 = 6,468.53/x
  3. Step 3: Cross multiply
    11,773.72x = 16,247.40 × 6,468.53
  4. Step 4: Simplify right side
    11,773.72x = 105,096,794.32
  5. Step 5: Solve for x
    x = 105,096,794.32/11,773.72
  6. Step 6: Final answer
    x = 8,926.39

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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.