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Finding the Fourth Proportional to 10,411.90, 15,623.95 and 3,842.66

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Solution

The fourth proportional to 10,411.90, 15,623.95 and 3,842.66 is: 5,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.90 : 15,623.95 = 3,842.66 : x
  2. Step 2: Convert to fraction form
    10,411.90/15,623.95 = 3,842.66/x
  3. Step 3: Cross multiply
    10,411.90x = 15,623.95 × 3,842.66
  4. Step 4: Simplify right side
    10,411.90x = 60,037,527.71
  5. Step 5: Solve for x
    x = 60,037,527.71/10,411.90
  6. Step 6: Final answer
    x = 5,766.24

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