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Finding the Fourth Proportional to 11,972.72, 16,518.07 and 6,934.19

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Solution

The fourth proportional to 11,972.72, 16,518.07 and 6,934.19 is: 9,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.72 : 16,518.07 = 6,934.19 : x
  2. Step 2: Convert to fraction form
    11,972.72/16,518.07 = 6,934.19/x
  3. Step 3: Cross multiply
    11,972.72x = 16,518.07 × 6,934.19
  4. Step 4: Simplify right side
    11,972.72x = 114,539,435.81
  5. Step 5: Solve for x
    x = 114,539,435.81/11,972.72
  6. Step 6: Final answer
    x = 9,566.70

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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.