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Finding the Fourth Proportional to 7,702.58, 11,546.58 and 4,742.84

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Solution

The fourth proportional to 7,702.58, 11,546.58 and 4,742.84 is: 7,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.58 : 11,546.58 = 4,742.84 : x
  2. Step 2: Convert to fraction form
    7,702.58/11,546.58 = 4,742.84/x
  3. Step 3: Cross multiply
    7,702.58x = 11,546.58 × 4,742.84
  4. Step 4: Simplify right side
    7,702.58x = 54,763,581.49
  5. Step 5: Solve for x
    x = 54,763,581.49/7,702.58
  6. Step 6: Final answer
    x = 7,109.77

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