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Finding the Fourth Proportional to 12,900, 17,802 and 7,311

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Solution

The fourth proportional to 12,900, 17,802 and 7,311 is: 10,089.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900 : 17,802 = 7,311 : x
  2. Step 2: Convert to fraction form
    12,900/17,802 = 7,311/x
  3. Step 3: Cross multiply
    12,900x = 17,802 × 7,311
  4. Step 4: Simplify right side
    12,900x = 130,150,422
  5. Step 5: Solve for x
    x = 130,150,422/12,900
  6. Step 6: Final answer
    x = 10,089.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.