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Finding the Fourth Proportional to 10,301.85, 15,452.64 and 7,136.37

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Solution

The fourth proportional to 10,301.85, 15,452.64 and 7,136.37 is: 10,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.85 : 15,452.64 = 7,136.37 : x
  2. Step 2: Convert to fraction form
    10,301.85/15,452.64 = 7,136.37/x
  3. Step 3: Cross multiply
    10,301.85x = 15,452.64 × 7,136.37
  4. Step 4: Simplify right side
    10,301.85x = 110,275,756.52
  5. Step 5: Solve for x
    x = 110,275,756.52/10,301.85
  6. Step 6: Final answer
    x = 10,704.46

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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.