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Finding the Fourth Proportional to 10,709.84, 14,779.10 and 5,929.50

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Solution

The fourth proportional to 10,709.84, 14,779.10 and 5,929.50 is: 8,182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.84 : 14,779.10 = 5,929.50 : x
  2. Step 2: Convert to fraction form
    10,709.84/14,779.10 = 5,929.50/x
  3. Step 3: Cross multiply
    10,709.84x = 14,779.10 × 5,929.50
  4. Step 4: Simplify right side
    10,709.84x = 87,632,673.45
  5. Step 5: Solve for x
    x = 87,632,673.45/10,709.84
  6. Step 6: Final answer
    x = 8,182.44

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