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Finding the Fourth Proportional to 7,646.12, 11,452.80 and 3,742.40

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Solution

The fourth proportional to 7,646.12, 11,452.80 and 3,742.40 is: 5,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.12 : 11,452.80 = 3,742.40 : x
  2. Step 2: Convert to fraction form
    7,646.12/11,452.80 = 3,742.40/x
  3. Step 3: Cross multiply
    7,646.12x = 11,452.80 × 3,742.40
  4. Step 4: Simplify right side
    7,646.12x = 42,860,958.72
  5. Step 5: Solve for x
    x = 42,860,958.72/7,646.12
  6. Step 6: Final answer
    x = 5,605.58

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