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Finding the Fourth Proportional to 11,624, 16,041.12 and 6,656

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Solution

The fourth proportional to 11,624, 16,041.12 and 6,656 is: 9,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624 : 16,041.12 = 6,656 : x
  2. Step 2: Convert to fraction form
    11,624/16,041.12 = 6,656/x
  3. Step 3: Cross multiply
    11,624x = 16,041.12 × 6,656
  4. Step 4: Simplify right side
    11,624x = 106,769,694.72
  5. Step 5: Solve for x
    x = 106,769,694.72/11,624
  6. Step 6: Final answer
    x = 9,185.28

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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.