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Finding the Fourth Proportional to 11,773.90, 16,248 and 6,468.64

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Solution

The fourth proportional to 11,773.90, 16,248 and 6,468.64 is: 8,926.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.90 : 16,248 = 6,468.64 : x
  2. Step 2: Convert to fraction form
    11,773.90/16,248 = 6,468.64/x
  3. Step 3: Cross multiply
    11,773.90x = 16,248 × 6,468.64
  4. Step 4: Simplify right side
    11,773.90x = 105,102,462.72
  5. Step 5: Solve for x
    x = 105,102,462.72/11,773.90
  6. Step 6: Final answer
    x = 8,926.73

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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.