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Finding the Fourth Proportional to 7,189.64, 10,784.36 and 2,259.58

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Solution

The fourth proportional to 7,189.64, 10,784.36 and 2,259.58 is: 3,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.64 : 10,784.36 = 2,259.58 : x
  2. Step 2: Convert to fraction form
    7,189.64/10,784.36 = 2,259.58/x
  3. Step 3: Cross multiply
    7,189.64x = 10,784.36 × 2,259.58
  4. Step 4: Simplify right side
    7,189.64x = 24,368,124.17
  5. Step 5: Solve for x
    x = 24,368,124.17/7,189.64
  6. Step 6: Final answer
    x = 3,389.34

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