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Finding the Fourth Proportional to 8,051.54, 11,105.50 and 7,780.59

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Solution

The fourth proportional to 8,051.54, 11,105.50 and 7,780.59 is: 10,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.54 : 11,105.50 = 7,780.59 : x
  2. Step 2: Convert to fraction form
    8,051.54/11,105.50 = 7,780.59/x
  3. Step 3: Cross multiply
    8,051.54x = 11,105.50 × 7,780.59
  4. Step 4: Simplify right side
    8,051.54x = 86,407,315.50
  5. Step 5: Solve for x
    x = 86,407,315.50/8,051.54
  6. Step 6: Final answer
    x = 10,731.78

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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.