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Finding the Fourth Proportional to 10,778.74, 14,869.95 and 6,584.50

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Solution

The fourth proportional to 10,778.74, 14,869.95 and 6,584.50 is: 9,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.74 : 14,869.95 = 6,584.50 : x
  2. Step 2: Convert to fraction form
    10,778.74/14,869.95 = 6,584.50/x
  3. Step 3: Cross multiply
    10,778.74x = 14,869.95 × 6,584.50
  4. Step 4: Simplify right side
    10,778.74x = 97,911,185.78
  5. Step 5: Solve for x
    x = 97,911,185.78/10,778.74
  6. Step 6: Final answer
    x = 9,083.73

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