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Finding the Fourth Proportional to 11,928.04, 17,894.03 and 4,031.30

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Solution

The fourth proportional to 11,928.04, 17,894.03 and 4,031.30 is: 6,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928.04 : 17,894.03 = 4,031.30 : x
  2. Step 2: Convert to fraction form
    11,928.04/17,894.03 = 4,031.30/x
  3. Step 3: Cross multiply
    11,928.04x = 17,894.03 × 4,031.30
  4. Step 4: Simplify right side
    11,928.04x = 72,136,227.72
  5. Step 5: Solve for x
    x = 72,136,227.72/11,928.04
  6. Step 6: Final answer
    x = 6,047.62

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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.