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Finding the Fourth Proportional to 11,882.88, 17,823.24 and 3,117.60

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Solution

The fourth proportional to 11,882.88, 17,823.24 and 3,117.60 is: 4,676.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.88 : 17,823.24 = 3,117.60 : x
  2. Step 2: Convert to fraction form
    11,882.88/17,823.24 = 3,117.60/x
  3. Step 3: Cross multiply
    11,882.88x = 17,823.24 × 3,117.60
  4. Step 4: Simplify right side
    11,882.88x = 55,565,733.02
  5. Step 5: Solve for x
    x = 55,565,733.02/11,882.88
  6. Step 6: Final answer
    x = 4,676.12

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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.