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Finding the Fourth Proportional to 11,773.44, 16,246.56 and 6,468

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Solution

The fourth proportional to 11,773.44, 16,246.56 and 6,468 is: 8,925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.44 : 16,246.56 = 6,468 : x
  2. Step 2: Convert to fraction form
    11,773.44/16,246.56 = 6,468/x
  3. Step 3: Cross multiply
    11,773.44x = 16,246.56 × 6,468
  4. Step 4: Simplify right side
    11,773.44x = 105,082,750.08
  5. Step 5: Solve for x
    x = 105,082,750.08/11,773.44
  6. Step 6: Final answer
    x = 8,925.41

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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.