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Finding the Fourth Proportional to 10,537.85, 15,806.76 and 3,142.13

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Solution

The fourth proportional to 10,537.85, 15,806.76 and 3,142.13 is: 4,713.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.85 : 15,806.76 = 3,142.13 : x
  2. Step 2: Convert to fraction form
    10,537.85/15,806.76 = 3,142.13/x
  3. Step 3: Cross multiply
    10,537.85x = 15,806.76 × 3,142.13
  4. Step 4: Simplify right side
    10,537.85x = 49,666,815.77
  5. Step 5: Solve for x
    x = 49,666,815.77/10,537.85
  6. Step 6: Final answer
    x = 4,713.19

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