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Finding the Fourth Proportional to 12,782.70, 19,176.42 and 4,991.04

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Solution

The fourth proportional to 12,782.70, 19,176.42 and 4,991.04 is: 7,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.70 : 19,176.42 = 4,991.04 : x
  2. Step 2: Convert to fraction form
    12,782.70/19,176.42 = 4,991.04/x
  3. Step 3: Cross multiply
    12,782.70x = 19,176.42 × 4,991.04
  4. Step 4: Simplify right side
    12,782.70x = 95,710,279.28
  5. Step 5: Solve for x
    x = 95,710,279.28/12,782.70
  6. Step 6: Final answer
    x = 7,487.49

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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.