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Finding the Fourth Proportional to 10,406.87, 14,351.39 and 8,813.40

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Solution

The fourth proportional to 10,406.87, 14,351.39 and 8,813.40 is: 12,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.87 : 14,351.39 = 8,813.40 : x
  2. Step 2: Convert to fraction form
    10,406.87/14,351.39 = 8,813.40/x
  3. Step 3: Cross multiply
    10,406.87x = 14,351.39 × 8,813.40
  4. Step 4: Simplify right side
    10,406.87x = 126,484,525.37
  5. Step 5: Solve for x
    x = 126,484,525.37/10,406.87
  6. Step 6: Final answer
    x = 12,153.95

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Why These Related Problems?

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