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Finding the Fourth Proportional to 8,427.96, 11,630.71 and 4,651.28

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Solution

The fourth proportional to 8,427.96, 11,630.71 and 4,651.28 is: 6,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.96 : 11,630.71 = 4,651.28 : x
  2. Step 2: Convert to fraction form
    8,427.96/11,630.71 = 4,651.28/x
  3. Step 3: Cross multiply
    8,427.96x = 11,630.71 × 4,651.28
  4. Step 4: Simplify right side
    8,427.96x = 54,097,706.26
  5. Step 5: Solve for x
    x = 54,097,706.26/8,427.96
  6. Step 6: Final answer
    x = 6,418.84

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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.