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Finding the Fourth Proportional to 10,320.96, 15,472.32 and 3,745.60

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Solution

The fourth proportional to 10,320.96, 15,472.32 and 3,745.60 is: 5,615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320.96 : 15,472.32 = 3,745.60 : x
  2. Step 2: Convert to fraction form
    10,320.96/15,472.32 = 3,745.60/x
  3. Step 3: Cross multiply
    10,320.96x = 15,472.32 × 3,745.60
  4. Step 4: Simplify right side
    10,320.96x = 57,953,121.79
  5. Step 5: Solve for x
    x = 57,953,121.79/10,320.96
  6. Step 6: Final answer
    x = 5,615.09

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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.