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Finding the Fourth Proportional to 13,004.34, 19,490.29 and 5,976.88

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Solution

The fourth proportional to 13,004.34, 19,490.29 and 5,976.88 is: 8,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.34 : 19,490.29 = 5,976.88 : x
  2. Step 2: Convert to fraction form
    13,004.34/19,490.29 = 5,976.88/x
  3. Step 3: Cross multiply
    13,004.34x = 19,490.29 × 5,976.88
  4. Step 4: Simplify right side
    13,004.34x = 116,491,124.50
  5. Step 5: Solve for x
    x = 116,491,124.50/13,004.34
  6. Step 6: Final answer
    x = 8,957.87

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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.