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Finding the Fourth Proportional to 7,748.64, 10,696.40 and 5,234.16

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Solution

The fourth proportional to 7,748.64, 10,696.40 and 5,234.16 is: 7,225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.64 : 10,696.40 = 5,234.16 : x
  2. Step 2: Convert to fraction form
    7,748.64/10,696.40 = 5,234.16/x
  3. Step 3: Cross multiply
    7,748.64x = 10,696.40 × 5,234.16
  4. Step 4: Simplify right side
    7,748.64x = 55,986,669.02
  5. Step 5: Solve for x
    x = 55,986,669.02/7,748.64
  6. Step 6: Final answer
    x = 7,225.35

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