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Finding the Fourth Proportional to 10,947.80, 16,421.70 and 7,837.40

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Solution

The fourth proportional to 10,947.80, 16,421.70 and 7,837.40 is: 11,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.80 : 16,421.70 = 7,837.40 : x
  2. Step 2: Convert to fraction form
    10,947.80/16,421.70 = 7,837.40/x
  3. Step 3: Cross multiply
    10,947.80x = 16,421.70 × 7,837.40
  4. Step 4: Simplify right side
    10,947.80x = 128,703,431.58
  5. Step 5: Solve for x
    x = 128,703,431.58/10,947.80
  6. Step 6: Final answer
    x = 11,756.10

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