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Finding the Fourth Proportional to 10,799.44, 16,199.16 and 4,642

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Solution

The fourth proportional to 10,799.44, 16,199.16 and 4,642 is: 6,963

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,799.44 : 16,199.16 = 4,642 : x
  2. Step 2: Convert to fraction form
    10,799.44/16,199.16 = 4,642/x
  3. Step 3: Cross multiply
    10,799.44x = 16,199.16 × 4,642
  4. Step 4: Simplify right side
    10,799.44x = 75,196,500.72
  5. Step 5: Solve for x
    x = 75,196,500.72/10,799.44
  6. Step 6: Final answer
    x = 6,963

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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.