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Finding the Fourth Proportional to 10,698.24, 16,035.84 and 5,143.68

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Solution

The fourth proportional to 10,698.24, 16,035.84 and 5,143.68 is: 7,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.24 : 16,035.84 = 5,143.68 : x
  2. Step 2: Convert to fraction form
    10,698.24/16,035.84 = 5,143.68/x
  3. Step 3: Cross multiply
    10,698.24x = 16,035.84 × 5,143.68
  4. Step 4: Simplify right side
    10,698.24x = 82,483,229.49
  5. Step 5: Solve for x
    x = 82,483,229.49/10,698.24
  6. Step 6: Final answer
    x = 7,709.98

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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.