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Finding the Fourth Proportional to 4,117.51, 6,174.82 and 1,776.88

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Solution

The fourth proportional to 4,117.51, 6,174.82 and 1,776.88 is: 2,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.51 : 6,174.82 = 1,776.88 : x
  2. Step 2: Convert to fraction form
    4,117.51/6,174.82 = 1,776.88/x
  3. Step 3: Cross multiply
    4,117.51x = 6,174.82 × 1,776.88
  4. Step 4: Simplify right side
    4,117.51x = 10,971,914.16
  5. Step 5: Solve for x
    x = 10,971,914.16/4,117.51
  6. Step 6: Final answer
    x = 2,664.70

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