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Finding the Fourth Proportional to 7,784.47, 11,684.66 and 5,698.28

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Solution

The fourth proportional to 7,784.47, 11,684.66 and 5,698.28 is: 8,553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.47 : 11,684.66 = 5,698.28 : x
  2. Step 2: Convert to fraction form
    7,784.47/11,684.66 = 5,698.28/x
  3. Step 3: Cross multiply
    7,784.47x = 11,684.66 × 5,698.28
  4. Step 4: Simplify right side
    7,784.47x = 66,582,465.11
  5. Step 5: Solve for x
    x = 66,582,465.11/7,784.47
  6. Step 6: Final answer
    x = 8,553.24

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