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Finding the Fourth Proportional to 11,983.60, 16,537.53 and 6,678.24

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Solution

The fourth proportional to 11,983.60, 16,537.53 and 6,678.24 is: 9,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983.60 : 16,537.53 = 6,678.24 : x
  2. Step 2: Convert to fraction form
    11,983.60/16,537.53 = 6,678.24/x
  3. Step 3: Cross multiply
    11,983.60x = 16,537.53 × 6,678.24
  4. Step 4: Simplify right side
    11,983.60x = 110,441,594.35
  5. Step 5: Solve for x
    x = 110,441,594.35/11,983.60
  6. Step 6: Final answer
    x = 9,216.06

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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.