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Finding the Fourth Proportional to 8,051.97, 11,106.10 and 7,781.03

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Solution

The fourth proportional to 8,051.97, 11,106.10 and 7,781.03 is: 10,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.97 : 11,106.10 = 7,781.03 : x
  2. Step 2: Convert to fraction form
    8,051.97/11,106.10 = 7,781.03/x
  3. Step 3: Cross multiply
    8,051.97x = 11,106.10 × 7,781.03
  4. Step 4: Simplify right side
    8,051.97x = 86,416,869.52
  5. Step 5: Solve for x
    x = 86,416,869.52/8,051.97
  6. Step 6: Final answer
    x = 10,732.39

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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.