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Finding the Fourth Proportional to 11,829.81, 16,325.15 and 6,524.63

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Solution

The fourth proportional to 11,829.81, 16,325.15 and 6,524.63 is: 9,003.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.81 : 16,325.15 = 6,524.63 : x
  2. Step 2: Convert to fraction form
    11,829.81/16,325.15 = 6,524.63/x
  3. Step 3: Cross multiply
    11,829.81x = 16,325.15 × 6,524.63
  4. Step 4: Simplify right side
    11,829.81x = 106,515,510.41
  5. Step 5: Solve for x
    x = 106,515,510.41/11,829.81
  6. Step 6: Final answer
    x = 9,003.99

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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.