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Finding the Fourth Proportional to 10,994.38, 16,488.78 and 5,442.46

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Solution

The fourth proportional to 10,994.38, 16,488.78 and 5,442.46 is: 8,162.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,994.38 : 16,488.78 = 5,442.46 : x
  2. Step 2: Convert to fraction form
    10,994.38/16,488.78 = 5,442.46/x
  3. Step 3: Cross multiply
    10,994.38x = 16,488.78 × 5,442.46
  4. Step 4: Simplify right side
    10,994.38x = 89,739,525.60
  5. Step 5: Solve for x
    x = 89,739,525.60/10,994.38
  6. Step 6: Final answer
    x = 8,162.31

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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.