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Finding the Fourth Proportional to 10,406.18, 15,592.88 and 3,823.32

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Solution

The fourth proportional to 10,406.18, 15,592.88 and 3,823.32 is: 5,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.18 : 15,592.88 = 3,823.32 : x
  2. Step 2: Convert to fraction form
    10,406.18/15,592.88 = 3,823.32/x
  3. Step 3: Cross multiply
    10,406.18x = 15,592.88 × 3,823.32
  4. Step 4: Simplify right side
    10,406.18x = 59,616,569.96
  5. Step 5: Solve for x
    x = 59,616,569.96/10,406.18
  6. Step 6: Final answer
    x = 5,728.96

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