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Finding the Fourth Proportional to 10,639.57, 14,685.81 and 6,164.41

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Solution

The fourth proportional to 10,639.57, 14,685.81 and 6,164.41 is: 8,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.57 : 14,685.81 = 6,164.41 : x
  2. Step 2: Convert to fraction form
    10,639.57/14,685.81 = 6,164.41/x
  3. Step 3: Cross multiply
    10,639.57x = 14,685.81 × 6,164.41
  4. Step 4: Simplify right side
    10,639.57x = 90,529,354.02
  5. Step 5: Solve for x
    x = 90,529,354.02/10,639.57
  6. Step 6: Final answer
    x = 8,508.74

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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.