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Finding the Fourth Proportional to 11,417.85, 17,129.22 and 4,847.13

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Solution

The fourth proportional to 11,417.85, 17,129.22 and 4,847.13 is: 7,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.85 : 17,129.22 = 4,847.13 : x
  2. Step 2: Convert to fraction form
    11,417.85/17,129.22 = 4,847.13/x
  3. Step 3: Cross multiply
    11,417.85x = 17,129.22 × 4,847.13
  4. Step 4: Simplify right side
    11,417.85x = 83,027,556.14
  5. Step 5: Solve for x
    x = 83,027,556.14/11,417.85
  6. Step 6: Final answer
    x = 7,271.73

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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.