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Finding the Fourth Proportional to 11,777.94, 16,253.45 and 6,400.34

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Solution

The fourth proportional to 11,777.94, 16,253.45 and 6,400.34 is: 8,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.94 : 16,253.45 = 6,400.34 : x
  2. Step 2: Convert to fraction form
    11,777.94/16,253.45 = 6,400.34/x
  3. Step 3: Cross multiply
    11,777.94x = 16,253.45 × 6,400.34
  4. Step 4: Simplify right side
    11,777.94x = 104,027,606.17
  5. Step 5: Solve for x
    x = 104,027,606.17/11,777.94
  6. Step 6: Final answer
    x = 8,832.41

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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.