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Finding the Fourth Proportional to 8,499.96, 11,730.69 and 4,964.31

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Solution

The fourth proportional to 8,499.96, 11,730.69 and 4,964.31 is: 6,851.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.96 : 11,730.69 = 4,964.31 : x
  2. Step 2: Convert to fraction form
    8,499.96/11,730.69 = 4,964.31/x
  3. Step 3: Cross multiply
    8,499.96x = 11,730.69 × 4,964.31
  4. Step 4: Simplify right side
    8,499.96x = 58,234,756.85
  5. Step 5: Solve for x
    x = 58,234,756.85/8,499.96
  6. Step 6: Final answer
    x = 6,851.18

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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.