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Finding the Fourth Proportional to 7,173.48, 10,760.28 and 4,089

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Solution

The fourth proportional to 7,173.48, 10,760.28 and 4,089 is: 6,133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173.48 : 10,760.28 = 4,089 : x
  2. Step 2: Convert to fraction form
    7,173.48/10,760.28 = 4,089/x
  3. Step 3: Cross multiply
    7,173.48x = 10,760.28 × 4,089
  4. Step 4: Simplify right side
    7,173.48x = 43,998,784.92
  5. Step 5: Solve for x
    x = 43,998,784.92/7,173.48
  6. Step 6: Final answer
    x = 6,133.53

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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.