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Finding the Fourth Proportional to 11,659.54, 17,488.59 and 4,733.86

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Solution

The fourth proportional to 11,659.54, 17,488.59 and 4,733.86 is: 7,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.54 : 17,488.59 = 4,733.86 : x
  2. Step 2: Convert to fraction form
    11,659.54/17,488.59 = 4,733.86/x
  3. Step 3: Cross multiply
    11,659.54x = 17,488.59 × 4,733.86
  4. Step 4: Simplify right side
    11,659.54x = 82,788,536.66
  5. Step 5: Solve for x
    x = 82,788,536.66/11,659.54
  6. Step 6: Final answer
    x = 7,100.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.