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Finding the Fourth Proportional to 8,367.28, 11,546.28 and 4,827.76

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Solution

The fourth proportional to 8,367.28, 11,546.28 and 4,827.76 is: 6,661.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.28 : 11,546.28 = 4,827.76 : x
  2. Step 2: Convert to fraction form
    8,367.28/11,546.28 = 4,827.76/x
  3. Step 3: Cross multiply
    8,367.28x = 11,546.28 × 4,827.76
  4. Step 4: Simplify right side
    8,367.28x = 55,742,668.73
  5. Step 5: Solve for x
    x = 55,742,668.73/8,367.28
  6. Step 6: Final answer
    x = 6,661.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.