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Finding the Fourth Proportional to 8,299.67, 11,454.11 and 5,070.87

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Solution

The fourth proportional to 8,299.67, 11,454.11 and 5,070.87 is: 6,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.67 : 11,454.11 = 5,070.87 : x
  2. Step 2: Convert to fraction form
    8,299.67/11,454.11 = 5,070.87/x
  3. Step 3: Cross multiply
    8,299.67x = 11,454.11 × 5,070.87
  4. Step 4: Simplify right side
    8,299.67x = 58,082,302.78
  5. Step 5: Solve for x
    x = 58,082,302.78/8,299.67
  6. Step 6: Final answer
    x = 6,998.15

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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.