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Finding the Fourth Proportional to 11,829.82, 16,325.91 and 6,524.66

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Solution

The fourth proportional to 11,829.82, 16,325.91 and 6,524.66 is: 9,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.82 : 16,325.91 = 6,524.66 : x
  2. Step 2: Convert to fraction form
    11,829.82/16,325.91 = 6,524.66/x
  3. Step 3: Cross multiply
    11,829.82x = 16,325.91 × 6,524.66
  4. Step 4: Simplify right side
    11,829.82x = 106,521,011.94
  5. Step 5: Solve for x
    x = 106,521,011.94/11,829.82
  6. Step 6: Final answer
    x = 9,004.45

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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.