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Finding the Fourth Proportional to 11,882.64, 17,810.76 and 6,027.12

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Solution

The fourth proportional to 11,882.64, 17,810.76 and 6,027.12 is: 9,033.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.64 : 17,810.76 = 6,027.12 : x
  2. Step 2: Convert to fraction form
    11,882.64/17,810.76 = 6,027.12/x
  3. Step 3: Cross multiply
    11,882.64x = 17,810.76 × 6,027.12
  4. Step 4: Simplify right side
    11,882.64x = 107,347,587.81
  5. Step 5: Solve for x
    x = 107,347,587.81/11,882.64
  6. Step 6: Final answer
    x = 9,033.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.