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Finding the Fourth Proportional to 11,983.32, 16,537.01 and 6,678.03

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Solution

The fourth proportional to 11,983.32, 16,537.01 and 6,678.03 is: 9,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983.32 : 16,537.01 = 6,678.03 : x
  2. Step 2: Convert to fraction form
    11,983.32/16,537.01 = 6,678.03/x
  3. Step 3: Cross multiply
    11,983.32x = 16,537.01 × 6,678.03
  4. Step 4: Simplify right side
    11,983.32x = 110,434,615.50
  5. Step 5: Solve for x
    x = 110,434,615.50/11,983.32
  6. Step 6: Final answer
    x = 9,215.69

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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.