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Finding the Fourth Proportional to 11,698.20, 16,143.50 and 6,320.63

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Solution

The fourth proportional to 11,698.20, 16,143.50 and 6,320.63 is: 8,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.20 : 16,143.50 = 6,320.63 : x
  2. Step 2: Convert to fraction form
    11,698.20/16,143.50 = 6,320.63/x
  3. Step 3: Cross multiply
    11,698.20x = 16,143.50 × 6,320.63
  4. Step 4: Simplify right side
    11,698.20x = 102,037,146.57
  5. Step 5: Solve for x
    x = 102,037,146.57/11,698.20
  6. Step 6: Final answer
    x = 8,722.47

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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.