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Finding the Fourth Proportional to 6,516.11, 9,774.16 and 1,585.75

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Solution

The fourth proportional to 6,516.11, 9,774.16 and 1,585.75 is: 2,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.11 : 9,774.16 = 1,585.75 : x
  2. Step 2: Convert to fraction form
    6,516.11/9,774.16 = 1,585.75/x
  3. Step 3: Cross multiply
    6,516.11x = 9,774.16 × 1,585.75
  4. Step 4: Simplify right side
    6,516.11x = 15,499,325.35
  5. Step 5: Solve for x
    x = 15,499,325.35/6,516.11
  6. Step 6: Final answer
    x = 2,378.62

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