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Finding the Fourth Proportional to 10,213.76, 15,320.64 and 3,289.28

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Solution

The fourth proportional to 10,213.76, 15,320.64 and 3,289.28 is: 4,933.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.76 : 15,320.64 = 3,289.28 : x
  2. Step 2: Convert to fraction form
    10,213.76/15,320.64 = 3,289.28/x
  3. Step 3: Cross multiply
    10,213.76x = 15,320.64 × 3,289.28
  4. Step 4: Simplify right side
    10,213.76x = 50,393,874.74
  5. Step 5: Solve for x
    x = 50,393,874.74/10,213.76
  6. Step 6: Final answer
    x = 4,933.92

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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.