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Finding the Fourth Proportional to 11,406.84, 17,137.92 and 10,777.46

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Solution

The fourth proportional to 11,406.84, 17,137.92 and 10,777.46 is: 16,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.84 : 17,137.92 = 10,777.46 : x
  2. Step 2: Convert to fraction form
    11,406.84/17,137.92 = 10,777.46/x
  3. Step 3: Cross multiply
    11,406.84x = 17,137.92 × 10,777.46
  4. Step 4: Simplify right side
    11,406.84x = 184,703,247.28
  5. Step 5: Solve for x
    x = 184,703,247.28/11,406.84
  6. Step 6: Final answer
    x = 16,192.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.