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Finding the Fourth Proportional to 7,725.76, 11,584.86 and 5,386.88

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Solution

The fourth proportional to 7,725.76, 11,584.86 and 5,386.88 is: 8,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.76 : 11,584.86 = 5,386.88 : x
  2. Step 2: Convert to fraction form
    7,725.76/11,584.86 = 5,386.88/x
  3. Step 3: Cross multiply
    7,725.76x = 11,584.86 × 5,386.88
  4. Step 4: Simplify right side
    7,725.76x = 62,406,259.40
  5. Step 5: Solve for x
    x = 62,406,259.40/7,725.76
  6. Step 6: Final answer
    x = 8,077.69

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