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Finding the Fourth Proportional to 11,629.02, 16,042.41 and 6,909.96

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Solution

The fourth proportional to 11,629.02, 16,042.41 and 6,909.96 is: 9,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629.02 : 16,042.41 = 6,909.96 : x
  2. Step 2: Convert to fraction form
    11,629.02/16,042.41 = 6,909.96/x
  3. Step 3: Cross multiply
    11,629.02x = 16,042.41 × 6,909.96
  4. Step 4: Simplify right side
    11,629.02x = 110,852,411.40
  5. Step 5: Solve for x
    x = 110,852,411.40/11,629.02
  6. Step 6: Final answer
    x = 9,532.39

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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.