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Finding the Fourth Proportional to 10,057.64, 13,880.40 and 5,582.84

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Solution

The fourth proportional to 10,057.64, 13,880.40 and 5,582.84 is: 7,704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.64 : 13,880.40 = 5,582.84 : x
  2. Step 2: Convert to fraction form
    10,057.64/13,880.40 = 5,582.84/x
  3. Step 3: Cross multiply
    10,057.64x = 13,880.40 × 5,582.84
  4. Step 4: Simplify right side
    10,057.64x = 77,492,052.34
  5. Step 5: Solve for x
    x = 77,492,052.34/10,057.64
  6. Step 6: Final answer
    x = 7,704.79

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