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Finding the Fourth Proportional to 12,786, 19,180.08 and 3,552

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Solution

The fourth proportional to 12,786, 19,180.08 and 3,552 is: 5,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786 : 19,180.08 = 3,552 : x
  2. Step 2: Convert to fraction form
    12,786/19,180.08 = 3,552/x
  3. Step 3: Cross multiply
    12,786x = 19,180.08 × 3,552
  4. Step 4: Simplify right side
    12,786x = 68,127,644.16
  5. Step 5: Solve for x
    x = 68,127,644.16/12,786
  6. Step 6: Final answer
    x = 5,328.30

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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.