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Finding the Fourth Proportional to 10,272.21, 15,384.71 and 6,523.71

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Solution

The fourth proportional to 10,272.21, 15,384.71 and 6,523.71 is: 9,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.21 : 15,384.71 = 6,523.71 : x
  2. Step 2: Convert to fraction form
    10,272.21/15,384.71 = 6,523.71/x
  3. Step 3: Cross multiply
    10,272.21x = 15,384.71 × 6,523.71
  4. Step 4: Simplify right side
    10,272.21x = 100,365,353.86
  5. Step 5: Solve for x
    x = 100,365,353.86/10,272.21
  6. Step 6: Final answer
    x = 9,770.57

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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.