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Finding the Fourth Proportional to 10,416.59, 15,624.48 and 3,839.93

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Solution

The fourth proportional to 10,416.59, 15,624.48 and 3,839.93 is: 5,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.59 : 15,624.48 = 3,839.93 : x
  2. Step 2: Convert to fraction form
    10,416.59/15,624.48 = 3,839.93/x
  3. Step 3: Cross multiply
    10,416.59x = 15,624.48 × 3,839.93
  4. Step 4: Simplify right side
    10,416.59x = 59,996,909.49
  5. Step 5: Solve for x
    x = 59,996,909.49/10,416.59
  6. Step 6: Final answer
    x = 5,759.75

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