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Finding the Fourth Proportional to 10,048.81, 15,074.92 and 3,473.46

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Solution

The fourth proportional to 10,048.81, 15,074.92 and 3,473.46 is: 5,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.81 : 15,074.92 = 3,473.46 : x
  2. Step 2: Convert to fraction form
    10,048.81/15,074.92 = 3,473.46/x
  3. Step 3: Cross multiply
    10,048.81x = 15,074.92 × 3,473.46
  4. Step 4: Simplify right side
    10,048.81x = 52,362,131.62
  5. Step 5: Solve for x
    x = 52,362,131.62/10,048.81
  6. Step 6: Final answer
    x = 5,210.78

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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.