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Finding the Fourth Proportional to 10,405.44, 15,604.64 and 3,478.08

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Solution

The fourth proportional to 10,405.44, 15,604.64 and 3,478.08 is: 5,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.44 : 15,604.64 = 3,478.08 : x
  2. Step 2: Convert to fraction form
    10,405.44/15,604.64 = 3,478.08/x
  3. Step 3: Cross multiply
    10,405.44x = 15,604.64 × 3,478.08
  4. Step 4: Simplify right side
    10,405.44x = 54,274,186.29
  5. Step 5: Solve for x
    x = 54,274,186.29/10,405.44
  6. Step 6: Final answer
    x = 5,215.94

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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.