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Finding the Fourth Proportional to 11,642.08, 16,063.78 and 8,051.47

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Solution

The fourth proportional to 11,642.08, 16,063.78 and 8,051.47 is: 11,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.08 : 16,063.78 = 8,051.47 : x
  2. Step 2: Convert to fraction form
    11,642.08/16,063.78 = 8,051.47/x
  3. Step 3: Cross multiply
    11,642.08x = 16,063.78 × 8,051.47
  4. Step 4: Simplify right side
    11,642.08x = 129,337,042.76
  5. Step 5: Solve for x
    x = 129,337,042.76/11,642.08
  6. Step 6: Final answer
    x = 11,109.44

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1.5x scale

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.