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Finding the Fourth Proportional to 8,428.16, 11,630.64 and 4,651.27

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Solution

The fourth proportional to 8,428.16, 11,630.64 and 4,651.27 is: 6,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.16 : 11,630.64 = 4,651.27 : x
  2. Step 2: Convert to fraction form
    8,428.16/11,630.64 = 4,651.27/x
  3. Step 3: Cross multiply
    8,428.16x = 11,630.64 × 4,651.27
  4. Step 4: Simplify right side
    8,428.16x = 54,097,223.66
  5. Step 5: Solve for x
    x = 54,097,223.66/8,428.16
  6. Step 6: Final answer
    x = 6,418.63

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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.