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Finding the Fourth Proportional to 10,424.78, 15,638.58 and 3,855.62

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Solution

The fourth proportional to 10,424.78, 15,638.58 and 3,855.62 is: 5,783.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.78 : 15,638.58 = 3,855.62 : x
  2. Step 2: Convert to fraction form
    10,424.78/15,638.58 = 3,855.62/x
  3. Step 3: Cross multiply
    10,424.78x = 15,638.58 × 3,855.62
  4. Step 4: Simplify right side
    10,424.78x = 60,296,421.82
  5. Step 5: Solve for x
    x = 60,296,421.82/10,424.78
  6. Step 6: Final answer
    x = 5,783.95

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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.