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Finding the Fourth Proportional to 8,091.75, 11,167.71 and 5,298.87

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Solution

The fourth proportional to 8,091.75, 11,167.71 and 5,298.87 is: 7,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.75 : 11,167.71 = 5,298.87 : x
  2. Step 2: Convert to fraction form
    8,091.75/11,167.71 = 5,298.87/x
  3. Step 3: Cross multiply
    8,091.75x = 11,167.71 × 5,298.87
  4. Step 4: Simplify right side
    8,091.75x = 59,176,243.49
  5. Step 5: Solve for x
    x = 59,176,243.49/8,091.75
  6. Step 6: Final answer
    x = 7,313.16

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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.