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Finding the Fourth Proportional to 10,424.58, 15,638.16 and 3,405.30

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Solution

The fourth proportional to 10,424.58, 15,638.16 and 3,405.30 is: 5,108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.58 : 15,638.16 = 3,405.30 : x
  2. Step 2: Convert to fraction form
    10,424.58/15,638.16 = 3,405.30/x
  3. Step 3: Cross multiply
    10,424.58x = 15,638.16 × 3,405.30
  4. Step 4: Simplify right side
    10,424.58x = 53,252,626.25
  5. Step 5: Solve for x
    x = 53,252,626.25/10,424.58
  6. Step 6: Final answer
    x = 5,108.37

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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.