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Finding the Fourth Proportional to 11,535.12, 17,292.44 and 4,234

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Solution

The fourth proportional to 11,535.12, 17,292.44 and 4,234 is: 6,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535.12 : 17,292.44 = 4,234 : x
  2. Step 2: Convert to fraction form
    11,535.12/17,292.44 = 4,234/x
  3. Step 3: Cross multiply
    11,535.12x = 17,292.44 × 4,234
  4. Step 4: Simplify right side
    11,535.12x = 73,216,190.96
  5. Step 5: Solve for x
    x = 73,216,190.96/11,535.12
  6. Step 6: Final answer
    x = 6,347.24

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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.