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Finding the Fourth Proportional to 10,654.04, 15,981.19 and 4,080.62

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Solution

The fourth proportional to 10,654.04, 15,981.19 and 4,080.62 is: 6,120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.04 : 15,981.19 = 4,080.62 : x
  2. Step 2: Convert to fraction form
    10,654.04/15,981.19 = 4,080.62/x
  3. Step 3: Cross multiply
    10,654.04x = 15,981.19 × 4,080.62
  4. Step 4: Simplify right side
    10,654.04x = 65,213,073.43
  5. Step 5: Solve for x
    x = 65,213,073.43/10,654.04
  6. Step 6: Final answer
    x = 6,120.97

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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.