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Finding the Fourth Proportional to 11,725.66, 16,181.44 and 6,420.50

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Solution

The fourth proportional to 11,725.66, 16,181.44 and 6,420.50 is: 8,860.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,725.66 : 16,181.44 = 6,420.50 : x
  2. Step 2: Convert to fraction form
    11,725.66/16,181.44 = 6,420.50/x
  3. Step 3: Cross multiply
    11,725.66x = 16,181.44 × 6,420.50
  4. Step 4: Simplify right side
    11,725.66x = 103,892,935.52
  5. Step 5: Solve for x
    x = 103,892,935.52/11,725.66
  6. Step 6: Final answer
    x = 8,860.31

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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.