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Finding the Fourth Proportional to 8,319.28, 11,483.10 and 4,964.44

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Solution

The fourth proportional to 8,319.28, 11,483.10 and 4,964.44 is: 6,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.28 : 11,483.10 = 4,964.44 : x
  2. Step 2: Convert to fraction form
    8,319.28/11,483.10 = 4,964.44/x
  3. Step 3: Cross multiply
    8,319.28x = 11,483.10 × 4,964.44
  4. Step 4: Simplify right side
    8,319.28x = 57,007,160.96
  5. Step 5: Solve for x
    x = 57,007,160.96/8,319.28
  6. Step 6: Final answer
    x = 6,852.42

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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.