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Finding the Fourth Proportional to 10,140.83, 13,994.19 and 5,664.64

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Solution

The fourth proportional to 10,140.83, 13,994.19 and 5,664.64 is: 7,817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.83 : 13,994.19 = 5,664.64 : x
  2. Step 2: Convert to fraction form
    10,140.83/13,994.19 = 5,664.64/x
  3. Step 3: Cross multiply
    10,140.83x = 13,994.19 × 5,664.64
  4. Step 4: Simplify right side
    10,140.83x = 79,272,013.46
  5. Step 5: Solve for x
    x = 79,272,013.46/10,140.83
  6. Step 6: Final answer
    x = 7,817.12

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