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Finding the Fourth Proportional to 10,646.40, 15,972.16 and 4,072.48

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Solution

The fourth proportional to 10,646.40, 15,972.16 and 4,072.48 is: 6,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.40 : 15,972.16 = 4,072.48 : x
  2. Step 2: Convert to fraction form
    10,646.40/15,972.16 = 4,072.48/x
  3. Step 3: Cross multiply
    10,646.40x = 15,972.16 × 4,072.48
  4. Step 4: Simplify right side
    10,646.40x = 65,046,302.16
  5. Step 5: Solve for x
    x = 65,046,302.16/10,646.40
  6. Step 6: Final answer
    x = 6,109.70

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