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Finding the Fourth Proportional to 11,628.82, 16,039.64 and 7,648.66

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Solution

The fourth proportional to 11,628.82, 16,039.64 and 7,648.66 is: 10,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.82 : 16,039.64 = 7,648.66 : x
  2. Step 2: Convert to fraction form
    11,628.82/16,039.64 = 7,648.66/x
  3. Step 3: Cross multiply
    11,628.82x = 16,039.64 × 7,648.66
  4. Step 4: Simplify right side
    11,628.82x = 122,681,752.88
  5. Step 5: Solve for x
    x = 122,681,752.88/11,628.82
  6. Step 6: Final answer
    x = 10,549.80

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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.