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Finding the Fourth Proportional to 10,842.62, 16,251.54 and 4,924.02

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Solution

The fourth proportional to 10,842.62, 16,251.54 and 4,924.02 is: 7,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.62 : 16,251.54 = 4,924.02 : x
  2. Step 2: Convert to fraction form
    10,842.62/16,251.54 = 4,924.02/x
  3. Step 3: Cross multiply
    10,842.62x = 16,251.54 × 4,924.02
  4. Step 4: Simplify right side
    10,842.62x = 80,022,907.99
  5. Step 5: Solve for x
    x = 80,022,907.99/10,842.62
  6. Step 6: Final answer
    x = 7,380.40

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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.