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Finding the Fourth Proportional to 8,091.41, 11,164.75 and 7,437.40

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Solution

The fourth proportional to 8,091.41, 11,164.75 and 7,437.40 is: 10,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.41 : 11,164.75 = 7,437.40 : x
  2. Step 2: Convert to fraction form
    8,091.41/11,164.75 = 7,437.40/x
  3. Step 3: Cross multiply
    8,091.41x = 11,164.75 × 7,437.40
  4. Step 4: Simplify right side
    8,091.41x = 83,036,727.95
  5. Step 5: Solve for x
    x = 83,036,727.95/8,091.41
  6. Step 6: Final answer
    x = 10,262.34

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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.