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Finding the Fourth Proportional to 8,521.44, 11,760.16 and 4,744.56

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Solution

The fourth proportional to 8,521.44, 11,760.16 and 4,744.56 is: 6,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.44 : 11,760.16 = 4,744.56 : x
  2. Step 2: Convert to fraction form
    8,521.44/11,760.16 = 4,744.56/x
  3. Step 3: Cross multiply
    8,521.44x = 11,760.16 × 4,744.56
  4. Step 4: Simplify right side
    8,521.44x = 55,796,784.73
  5. Step 5: Solve for x
    x = 55,796,784.73/8,521.44
  6. Step 6: Final answer
    x = 6,547.81

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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.