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Finding the Fourth Proportional to 4,657.09, 6,986.72 and 1,537.11

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Solution

The fourth proportional to 4,657.09, 6,986.72 and 1,537.11 is: 2,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.09 : 6,986.72 = 1,537.11 : x
  2. Step 2: Convert to fraction form
    4,657.09/6,986.72 = 1,537.11/x
  3. Step 3: Cross multiply
    4,657.09x = 6,986.72 × 1,537.11
  4. Step 4: Simplify right side
    4,657.09x = 10,739,357.18
  5. Step 5: Solve for x
    x = 10,739,357.18/4,657.09
  6. Step 6: Final answer
    x = 2,306.02

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