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Finding the Fourth Proportional to 8,204.48, 11,321.76 and 4,477.76

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Solution

The fourth proportional to 8,204.48, 11,321.76 and 4,477.76 is: 6,179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.48 : 11,321.76 = 4,477.76 : x
  2. Step 2: Convert to fraction form
    8,204.48/11,321.76 = 4,477.76/x
  3. Step 3: Cross multiply
    8,204.48x = 11,321.76 × 4,477.76
  4. Step 4: Simplify right side
    8,204.48x = 50,696,124.06
  5. Step 5: Solve for x
    x = 50,696,124.06/8,204.48
  6. Step 6: Final answer
    x = 6,179.08

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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.