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Finding the Fourth Proportional to 10,639.59, 14,684.00 and 6,163.53

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Solution

The fourth proportional to 10,639.59, 14,684.00 and 6,163.53 is: 8,506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.59 : 14,684.00 = 6,163.53 : x
  2. Step 2: Convert to fraction form
    10,639.59/14,684.00 = 6,163.53/x
  3. Step 3: Cross multiply
    10,639.59x = 14,684.00 × 6,163.53
  4. Step 4: Simplify right side
    10,639.59x = 90,505,243.70
  5. Step 5: Solve for x
    x = 90,505,243.70/10,639.59
  6. Step 6: Final answer
    x = 8,506.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.