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Finding the Fourth Proportional to 11,976.61, 16,527.74 and 6,941.80

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Solution

The fourth proportional to 11,976.61, 16,527.74 and 6,941.80 is: 9,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976.61 : 16,527.74 = 6,941.80 : x
  2. Step 2: Convert to fraction form
    11,976.61/16,527.74 = 6,941.80/x
  3. Step 3: Cross multiply
    11,976.61x = 16,527.74 × 6,941.80
  4. Step 4: Simplify right side
    11,976.61x = 114,732,265.53
  5. Step 5: Solve for x
    x = 114,732,265.53/11,976.61
  6. Step 6: Final answer
    x = 9,579.69

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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.