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Finding the Fourth Proportional to 10,954.70, 16,444.20 and 6,024.50

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Solution

The fourth proportional to 10,954.70, 16,444.20 and 6,024.50 is: 9,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.70 : 16,444.20 = 6,024.50 : x
  2. Step 2: Convert to fraction form
    10,954.70/16,444.20 = 6,024.50/x
  3. Step 3: Cross multiply
    10,954.70x = 16,444.20 × 6,024.50
  4. Step 4: Simplify right side
    10,954.70x = 99,068,082.90
  5. Step 5: Solve for x
    x = 99,068,082.90/10,954.70
  6. Step 6: Final answer
    x = 9,043.43

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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.