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Finding the Fourth Proportional to 11,193.64, 16,797.38 and 6,515.74

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Solution

The fourth proportional to 11,193.64, 16,797.38 and 6,515.74 is: 9,777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.64 : 16,797.38 = 6,515.74 : x
  2. Step 2: Convert to fraction form
    11,193.64/16,797.38 = 6,515.74/x
  3. Step 3: Cross multiply
    11,193.64x = 16,797.38 × 6,515.74
  4. Step 4: Simplify right side
    11,193.64x = 109,447,349.18
  5. Step 5: Solve for x
    x = 109,447,349.18/11,193.64
  6. Step 6: Final answer
    x = 9,777.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.