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Finding the Fourth Proportional to 10,584.96, 15,872.80 and 5,653.48

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Solution

The fourth proportional to 10,584.96, 15,872.80 and 5,653.48 is: 8,477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.96 : 15,872.80 = 5,653.48 : x
  2. Step 2: Convert to fraction form
    10,584.96/15,872.80 = 5,653.48/x
  3. Step 3: Cross multiply
    10,584.96x = 15,872.80 × 5,653.48
  4. Step 4: Simplify right side
    10,584.96x = 89,736,557.34
  5. Step 5: Solve for x
    x = 89,736,557.34/10,584.96
  6. Step 6: Final answer
    x = 8,477.74

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