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Finding the Fourth Proportional to 10,342.16, 15,506.76 and 6,828.44

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Solution

The fourth proportional to 10,342.16, 15,506.76 and 6,828.44 is: 10,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.16 : 15,506.76 = 6,828.44 : x
  2. Step 2: Convert to fraction form
    10,342.16/15,506.76 = 6,828.44/x
  3. Step 3: Cross multiply
    10,342.16x = 15,506.76 × 6,828.44
  4. Step 4: Simplify right side
    10,342.16x = 105,886,980.25
  5. Step 5: Solve for x
    x = 105,886,980.25/10,342.16
  6. Step 6: Final answer
    x = 10,238.38

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