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Finding the Fourth Proportional to 8,172.64, 11,277.76 and 4,636.48

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Solution

The fourth proportional to 8,172.64, 11,277.76 and 4,636.48 is: 6,398.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.64 : 11,277.76 = 4,636.48 : x
  2. Step 2: Convert to fraction form
    8,172.64/11,277.76 = 4,636.48/x
  3. Step 3: Cross multiply
    8,172.64x = 11,277.76 × 4,636.48
  4. Step 4: Simplify right side
    8,172.64x = 52,289,108.68
  5. Step 5: Solve for x
    x = 52,289,108.68/8,172.64
  6. Step 6: Final answer
    x = 6,398.07

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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.