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Finding the Fourth Proportional to 10,228.24, 15,335.53 and 8,256.30

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Solution

The fourth proportional to 10,228.24, 15,335.53 and 8,256.30 is: 12,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.24 : 15,335.53 = 8,256.30 : x
  2. Step 2: Convert to fraction form
    10,228.24/15,335.53 = 8,256.30/x
  3. Step 3: Cross multiply
    10,228.24x = 15,335.53 × 8,256.30
  4. Step 4: Simplify right side
    10,228.24x = 126,614,736.34
  5. Step 5: Solve for x
    x = 126,614,736.34/10,228.24
  6. Step 6: Final answer
    x = 12,378.94

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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.