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Finding the Fourth Proportional to 11,500, 17,253.12 and 3,292

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Solution

The fourth proportional to 11,500, 17,253.12 and 3,292 is: 4,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500 : 17,253.12 = 3,292 : x
  2. Step 2: Convert to fraction form
    11,500/17,253.12 = 3,292/x
  3. Step 3: Cross multiply
    11,500x = 17,253.12 × 3,292
  4. Step 4: Simplify right side
    11,500x = 56,797,271.04
  5. Step 5: Solve for x
    x = 56,797,271.04/11,500
  6. Step 6: Final answer
    x = 4,938.89

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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.