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Finding the Fourth Proportional to 8,299.10, 11,458.86 and 5,645.54

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Solution

The fourth proportional to 8,299.10, 11,458.86 and 5,645.54 is: 7,795.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.10 : 11,458.86 = 5,645.54 : x
  2. Step 2: Convert to fraction form
    8,299.10/11,458.86 = 5,645.54/x
  3. Step 3: Cross multiply
    8,299.10x = 11,458.86 × 5,645.54
  4. Step 4: Simplify right side
    8,299.10x = 64,691,452.48
  5. Step 5: Solve for x
    x = 64,691,452.48/8,299.10
  6. Step 6: Final answer
    x = 7,795.00

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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.