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Finding the Fourth Proportional to 10,977.60, 16,450.18 and 5,039.84

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Solution

The fourth proportional to 10,977.60, 16,450.18 and 5,039.84 is: 7,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.60 : 16,450.18 = 5,039.84 : x
  2. Step 2: Convert to fraction form
    10,977.60/16,450.18 = 5,039.84/x
  3. Step 3: Cross multiply
    10,977.60x = 16,450.18 × 5,039.84
  4. Step 4: Simplify right side
    10,977.60x = 82,906,275.17
  5. Step 5: Solve for x
    x = 82,906,275.17/10,977.60
  6. Step 6: Final answer
    x = 7,552.31

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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.