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Finding the Fourth Proportional to 7,784.52, 11,654.40 and 7,237.80

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Solution

The fourth proportional to 7,784.52, 11,654.40 and 7,237.80 is: 10,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.52 : 11,654.40 = 7,237.80 : x
  2. Step 2: Convert to fraction form
    7,784.52/11,654.40 = 7,237.80/x
  3. Step 3: Cross multiply
    7,784.52x = 11,654.40 × 7,237.80
  4. Step 4: Simplify right side
    7,784.52x = 84,352,216.32
  5. Step 5: Solve for x
    x = 84,352,216.32/7,784.52
  6. Step 6: Final answer
    x = 10,835.89

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