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Finding the Fourth Proportional to 6,510.80, 9,766.05 and 1,580.46

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Solution

The fourth proportional to 6,510.80, 9,766.05 and 1,580.46 is: 2,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.80 : 9,766.05 = 1,580.46 : x
  2. Step 2: Convert to fraction form
    6,510.80/9,766.05 = 1,580.46/x
  3. Step 3: Cross multiply
    6,510.80x = 9,766.05 × 1,580.46
  4. Step 4: Simplify right side
    6,510.80x = 15,434,851.38
  5. Step 5: Solve for x
    x = 15,434,851.38/6,510.80
  6. Step 6: Final answer
    x = 2,370.66

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