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Finding the Fourth Proportional to 11,823.84, 16,317.01 and 6,518.84

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Solution

The fourth proportional to 11,823.84, 16,317.01 and 6,518.84 is: 8,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.84 : 16,317.01 = 6,518.84 : x
  2. Step 2: Convert to fraction form
    11,823.84/16,317.01 = 6,518.84/x
  3. Step 3: Cross multiply
    11,823.84x = 16,317.01 × 6,518.84
  4. Step 4: Simplify right side
    11,823.84x = 106,367,977.47
  5. Step 5: Solve for x
    x = 106,367,977.47/11,823.84
  6. Step 6: Final answer
    x = 8,996.06

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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.