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Finding the Fourth Proportional to 11,543.16, 17,315.56 and 4,147.68

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Solution

The fourth proportional to 11,543.16, 17,315.56 and 4,147.68 is: 6,221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.16 : 17,315.56 = 4,147.68 : x
  2. Step 2: Convert to fraction form
    11,543.16/17,315.56 = 4,147.68/x
  3. Step 3: Cross multiply
    11,543.16x = 17,315.56 × 4,147.68
  4. Step 4: Simplify right side
    11,543.16x = 71,819,401.90
  5. Step 5: Solve for x
    x = 71,819,401.90/11,543.16
  6. Step 6: Final answer
    x = 6,221.81

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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.