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Finding the Fourth Proportional to 10,497.28, 15,745.81 and 4,255.81

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Solution

The fourth proportional to 10,497.28, 15,745.81 and 4,255.81 is: 6,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.28 : 15,745.81 = 4,255.81 : x
  2. Step 2: Convert to fraction form
    10,497.28/15,745.81 = 4,255.81/x
  3. Step 3: Cross multiply
    10,497.28x = 15,745.81 × 4,255.81
  4. Step 4: Simplify right side
    10,497.28x = 67,011,133.63
  5. Step 5: Solve for x
    x = 67,011,133.63/10,497.28
  6. Step 6: Final answer
    x = 6,383.67

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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.