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Finding the Fourth Proportional to 11,534.89, 17,303.19 and 4,139.42

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Solution

The fourth proportional to 11,534.89, 17,303.19 and 4,139.42 is: 6,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.89 : 17,303.19 = 4,139.42 : x
  2. Step 2: Convert to fraction form
    11,534.89/17,303.19 = 4,139.42/x
  3. Step 3: Cross multiply
    11,534.89x = 17,303.19 × 4,139.42
  4. Step 4: Simplify right side
    11,534.89x = 71,625,170.75
  5. Step 5: Solve for x
    x = 71,625,170.75/11,534.89
  6. Step 6: Final answer
    x = 6,209.44

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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.