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Finding the Fourth Proportional to 10,330.40, 15,494.08 and 3,404

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Solution

The fourth proportional to 10,330.40, 15,494.08 and 3,404 is: 5,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330.40 : 15,494.08 = 3,404 : x
  2. Step 2: Convert to fraction form
    10,330.40/15,494.08 = 3,404/x
  3. Step 3: Cross multiply
    10,330.40x = 15,494.08 × 3,404
  4. Step 4: Simplify right side
    10,330.40x = 52,741,848.32
  5. Step 5: Solve for x
    x = 52,741,848.32/10,330.40
  6. Step 6: Final answer
    x = 5,105.50

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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.