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Finding the Fourth Proportional to 10,577.23, 15,848.54 and 6,404.60

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Solution

The fourth proportional to 10,577.23, 15,848.54 and 6,404.60 is: 9,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.23 : 15,848.54 = 6,404.60 : x
  2. Step 2: Convert to fraction form
    10,577.23/15,848.54 = 6,404.60/x
  3. Step 3: Cross multiply
    10,577.23x = 15,848.54 × 6,404.60
  4. Step 4: Simplify right side
    10,577.23x = 101,503,527.26
  5. Step 5: Solve for x
    x = 101,503,527.26/10,577.23
  6. Step 6: Final answer
    x = 9,596.42

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