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Finding the Fourth Proportional to 12,960.72, 19,441.05 and 5,175

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Solution

The fourth proportional to 12,960.72, 19,441.05 and 5,175 is: 7,762.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.72 : 19,441.05 = 5,175 : x
  2. Step 2: Convert to fraction form
    12,960.72/19,441.05 = 5,175/x
  3. Step 3: Cross multiply
    12,960.72x = 19,441.05 × 5,175
  4. Step 4: Simplify right side
    12,960.72x = 100,607,414.34
  5. Step 5: Solve for x
    x = 100,607,414.34/12,960.72
  6. Step 6: Final answer
    x = 7,762.49

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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.