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Finding the Fourth Proportional to 8,749.26, 12,067.74 and 8,460

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Solution

The fourth proportional to 8,749.26, 12,067.74 and 8,460 is: 11,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749.26 : 12,067.74 = 8,460 : x
  2. Step 2: Convert to fraction form
    8,749.26/12,067.74 = 8,460/x
  3. Step 3: Cross multiply
    8,749.26x = 12,067.74 × 8,460
  4. Step 4: Simplify right side
    8,749.26x = 102,093,080.40
  5. Step 5: Solve for x
    x = 102,093,080.40/8,749.26
  6. Step 6: Final answer
    x = 11,668.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.