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Finding the Fourth Proportional to 6,512.65, 9,768.85 and 1,582.25

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Solution

The fourth proportional to 6,512.65, 9,768.85 and 1,582.25 is: 2,373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.65 : 9,768.85 = 1,582.25 : x
  2. Step 2: Convert to fraction form
    6,512.65/9,768.85 = 1,582.25/x
  3. Step 3: Cross multiply
    6,512.65x = 9,768.85 × 1,582.25
  4. Step 4: Simplify right side
    6,512.65x = 15,456,710.11
  5. Step 5: Solve for x
    x = 15,456,710.11/6,512.65
  6. Step 6: Final answer
    x = 2,373.34

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