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Finding the Fourth Proportional to 11,549.66, 15,942.83 and 8,992.34

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Solution

The fourth proportional to 11,549.66, 15,942.83 and 8,992.34 is: 12,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.66 : 15,942.83 = 8,992.34 : x
  2. Step 2: Convert to fraction form
    11,549.66/15,942.83 = 8,992.34/x
  3. Step 3: Cross multiply
    11,549.66x = 15,942.83 × 8,992.34
  4. Step 4: Simplify right side
    11,549.66x = 143,363,223.25
  5. Step 5: Solve for x
    x = 143,363,223.25/11,549.66
  6. Step 6: Final answer
    x = 12,412.77

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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.