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Finding the Fourth Proportional to 10,643.43, 14,687.28 and 6,166.83

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Solution

The fourth proportional to 10,643.43, 14,687.28 and 6,166.83 is: 8,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.43 : 14,687.28 = 6,166.83 : x
  2. Step 2: Convert to fraction form
    10,643.43/14,687.28 = 6,166.83/x
  3. Step 3: Cross multiply
    10,643.43x = 14,687.28 × 6,166.83
  4. Step 4: Simplify right side
    10,643.43x = 90,573,958.92
  5. Step 5: Solve for x
    x = 90,573,958.92/10,643.43
  6. Step 6: Final answer
    x = 8,509.85

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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.