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Finding the Fourth Proportional to 11,977.84, 16,512.26 and 8,430.04

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Solution

The fourth proportional to 11,977.84, 16,512.26 and 8,430.04 is: 11,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.84 : 16,512.26 = 8,430.04 : x
  2. Step 2: Convert to fraction form
    11,977.84/16,512.26 = 8,430.04/x
  3. Step 3: Cross multiply
    11,977.84x = 16,512.26 × 8,430.04
  4. Step 4: Simplify right side
    11,977.84x = 139,199,012.29
  5. Step 5: Solve for x
    x = 139,199,012.29/11,977.84
  6. Step 6: Final answer
    x = 11,621.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.