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Finding the Fourth Proportional to 11,624.96, 16,042.88 and 6,656

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Solution

The fourth proportional to 11,624.96, 16,042.88 and 6,656 is: 9,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.96 : 16,042.88 = 6,656 : x
  2. Step 2: Convert to fraction form
    11,624.96/16,042.88 = 6,656/x
  3. Step 3: Cross multiply
    11,624.96x = 16,042.88 × 6,656
  4. Step 4: Simplify right side
    11,624.96x = 106,781,409.28
  5. Step 5: Solve for x
    x = 106,781,409.28/11,624.96
  6. Step 6: Final answer
    x = 9,185.53

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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.