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Finding the Fourth Proportional to 11,483.71, 17,229.85 and 7,820.48

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Solution

The fourth proportional to 11,483.71, 17,229.85 and 7,820.48 is: 11,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.71 : 17,229.85 = 7,820.48 : x
  2. Step 2: Convert to fraction form
    11,483.71/17,229.85 = 7,820.48/x
  3. Step 3: Cross multiply
    11,483.71x = 17,229.85 × 7,820.48
  4. Step 4: Simplify right side
    11,483.71x = 134,745,720.85
  5. Step 5: Solve for x
    x = 134,745,720.85/11,483.71
  6. Step 6: Final answer
    x = 11,733.64

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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.