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Finding the Fourth Proportional to 8,675.40, 11,971.98 and 4,696.47

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Solution

The fourth proportional to 8,675.40, 11,971.98 and 4,696.47 is: 6,481.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,675.40 : 11,971.98 = 4,696.47 : x
  2. Step 2: Convert to fraction form
    8,675.40/11,971.98 = 4,696.47/x
  3. Step 3: Cross multiply
    8,675.40x = 11,971.98 × 4,696.47
  4. Step 4: Simplify right side
    8,675.40x = 56,226,044.91
  5. Step 5: Solve for x
    x = 56,226,044.91/8,675.40
  6. Step 6: Final answer
    x = 6,481.09

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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.