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Finding the Fourth Proportional to 8,772.51, 12,096.84 and 5,784.52

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Solution

The fourth proportional to 8,772.51, 12,096.84 and 5,784.52 is: 7,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,772.51 : 12,096.84 = 5,784.52 : x
  2. Step 2: Convert to fraction form
    8,772.51/12,096.84 = 5,784.52/x
  3. Step 3: Cross multiply
    8,772.51x = 12,096.84 × 5,784.52
  4. Step 4: Simplify right side
    8,772.51x = 69,974,449.73
  5. Step 5: Solve for x
    x = 69,974,449.73/8,772.51
  6. Step 6: Final answer
    x = 7,976.56

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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.