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Finding the Fourth Proportional to 11,438.42, 15,784.61 and 6,657.80

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Solution

The fourth proportional to 11,438.42, 15,784.61 and 6,657.80 is: 9,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.42 : 15,784.61 = 6,657.80 : x
  2. Step 2: Convert to fraction form
    11,438.42/15,784.61 = 6,657.80/x
  3. Step 3: Cross multiply
    11,438.42x = 15,784.61 × 6,657.80
  4. Step 4: Simplify right side
    11,438.42x = 105,090,664.25
  5. Step 5: Solve for x
    x = 105,090,664.25/11,438.42
  6. Step 6: Final answer
    x = 9,187.52

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