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Finding the Fourth Proportional to 10,564.64, 15,845.74 and 2,774.06

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Solution

The fourth proportional to 10,564.64, 15,845.74 and 2,774.06 is: 4,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.64 : 15,845.74 = 2,774.06 : x
  2. Step 2: Convert to fraction form
    10,564.64/15,845.74 = 2,774.06/x
  3. Step 3: Cross multiply
    10,564.64x = 15,845.74 × 2,774.06
  4. Step 4: Simplify right side
    10,564.64x = 43,957,006.76
  5. Step 5: Solve for x
    x = 43,957,006.76/10,564.64
  6. Step 6: Final answer
    x = 4,160.77

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