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Finding the Fourth Proportional to 7,748.60, 11,604.54 and 5,897.48

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Solution

The fourth proportional to 7,748.60, 11,604.54 and 5,897.48 is: 8,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.60 : 11,604.54 = 5,897.48 : x
  2. Step 2: Convert to fraction form
    7,748.60/11,604.54 = 5,897.48/x
  3. Step 3: Cross multiply
    7,748.60x = 11,604.54 × 5,897.48
  4. Step 4: Simplify right side
    7,748.60x = 68,437,542.56
  5. Step 5: Solve for x
    x = 68,437,542.56/7,748.60
  6. Step 6: Final answer
    x = 8,832.25

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