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Finding the Fourth Proportional to 7,531.80, 11,287.14 and 6,415.40

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Solution

The fourth proportional to 7,531.80, 11,287.14 and 6,415.40 is: 9,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.80 : 11,287.14 = 6,415.40 : x
  2. Step 2: Convert to fraction form
    7,531.80/11,287.14 = 6,415.40/x
  3. Step 3: Cross multiply
    7,531.80x = 11,287.14 × 6,415.40
  4. Step 4: Simplify right side
    7,531.80x = 72,411,517.96
  5. Step 5: Solve for x
    x = 72,411,517.96/7,531.80
  6. Step 6: Final answer
    x = 9,614.11

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