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Finding the Fourth Proportional to 10,954.90, 16,422.62 and 5,103.46

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Solution

The fourth proportional to 10,954.90, 16,422.62 and 5,103.46 is: 7,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.90 : 16,422.62 = 5,103.46 : x
  2. Step 2: Convert to fraction form
    10,954.90/16,422.62 = 5,103.46/x
  3. Step 3: Cross multiply
    10,954.90x = 16,422.62 × 5,103.46
  4. Step 4: Simplify right side
    10,954.90x = 83,812,184.27
  5. Step 5: Solve for x
    x = 83,812,184.27/10,954.90
  6. Step 6: Final answer
    x = 7,650.66

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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.