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Finding the Fourth Proportional to 11,929.53, 16,463.49 and 6,894.69

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Solution

The fourth proportional to 11,929.53, 16,463.49 and 6,894.69 is: 9,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.53 : 16,463.49 = 6,894.69 : x
  2. Step 2: Convert to fraction form
    11,929.53/16,463.49 = 6,894.69/x
  3. Step 3: Cross multiply
    11,929.53x = 16,463.49 × 6,894.69
  4. Step 4: Simplify right side
    11,929.53x = 113,510,659.87
  5. Step 5: Solve for x
    x = 113,510,659.87/11,929.53
  6. Step 6: Final answer
    x = 9,515.10

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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.