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Finding the Fourth Proportional to 10,494.04, 15,736.20 and 3,920.08

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Solution

The fourth proportional to 10,494.04, 15,736.20 and 3,920.08 is: 5,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.04 : 15,736.20 = 3,920.08 : x
  2. Step 2: Convert to fraction form
    10,494.04/15,736.20 = 3,920.08/x
  3. Step 3: Cross multiply
    10,494.04x = 15,736.20 × 3,920.08
  4. Step 4: Simplify right side
    10,494.04x = 61,687,162.90
  5. Step 5: Solve for x
    x = 61,687,162.90/10,494.04
  6. Step 6: Final answer
    x = 5,878.30

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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.