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Finding the Fourth Proportional to 10,449.75, 15,674.85 and 4,900.04

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Solution

The fourth proportional to 10,449.75, 15,674.85 and 4,900.04 is: 7,350.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.75 : 15,674.85 = 4,900.04 : x
  2. Step 2: Convert to fraction form
    10,449.75/15,674.85 = 4,900.04/x
  3. Step 3: Cross multiply
    10,449.75x = 15,674.85 × 4,900.04
  4. Step 4: Simplify right side
    10,449.75x = 76,807,313.62
  5. Step 5: Solve for x
    x = 76,807,313.62/10,449.75
  6. Step 6: Final answer
    x = 7,350.16

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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.