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Finding the Fourth Proportional to 8,024, 12,035.64 and 3,342.08

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Solution

The fourth proportional to 8,024, 12,035.64 and 3,342.08 is: 5,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024 : 12,035.64 = 3,342.08 : x
  2. Step 2: Convert to fraction form
    8,024/12,035.64 = 3,342.08/x
  3. Step 3: Cross multiply
    8,024x = 12,035.64 × 3,342.08
  4. Step 4: Simplify right side
    8,024x = 40,224,071.73
  5. Step 5: Solve for x
    x = 40,224,071.73/8,024
  6. Step 6: Final answer
    x = 5,012.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.