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Finding the Fourth Proportional to 11,776.25, 16,234.43 and 8,417.84

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Solution

The fourth proportional to 11,776.25, 16,234.43 and 8,417.84 is: 11,604.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.25 : 16,234.43 = 8,417.84 : x
  2. Step 2: Convert to fraction form
    11,776.25/16,234.43 = 8,417.84/x
  3. Step 3: Cross multiply
    11,776.25x = 16,234.43 × 8,417.84
  4. Step 4: Simplify right side
    11,776.25x = 136,658,802.29
  5. Step 5: Solve for x
    x = 136,658,802.29/11,776.25
  6. Step 6: Final answer
    x = 11,604.61

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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.