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Finding the Fourth Proportional to 10,423.87, 14,384.57 and 5,947.25

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Solution

The fourth proportional to 10,423.87, 14,384.57 and 5,947.25 is: 8,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.87 : 14,384.57 = 5,947.25 : x
  2. Step 2: Convert to fraction form
    10,423.87/14,384.57 = 5,947.25/x
  3. Step 3: Cross multiply
    10,423.87x = 14,384.57 × 5,947.25
  4. Step 4: Simplify right side
    10,423.87x = 85,548,532.27
  5. Step 5: Solve for x
    x = 85,548,532.27/10,423.87
  6. Step 6: Final answer
    x = 8,206.99

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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.