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Finding the Fourth Proportional to 10,862, 16,293.16 and 2,654

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Solution

The fourth proportional to 10,862, 16,293.16 and 2,654 is: 3,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862 : 16,293.16 = 2,654 : x
  2. Step 2: Convert to fraction form
    10,862/16,293.16 = 2,654/x
  3. Step 3: Cross multiply
    10,862x = 16,293.16 × 2,654
  4. Step 4: Simplify right side
    10,862x = 43,242,046.64
  5. Step 5: Solve for x
    x = 43,242,046.64/10,862
  6. Step 6: Final answer
    x = 3,981.04

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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.