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Finding the Fourth Proportional to 8,290.92, 11,437.83 and 5,454.64

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Solution

The fourth proportional to 8,290.92, 11,437.83 and 5,454.64 is: 7,525.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.92 : 11,437.83 = 5,454.64 : x
  2. Step 2: Convert to fraction form
    8,290.92/11,437.83 = 5,454.64/x
  3. Step 3: Cross multiply
    8,290.92x = 11,437.83 × 5,454.64
  4. Step 4: Simplify right side
    8,290.92x = 62,389,245.03
  5. Step 5: Solve for x
    x = 62,389,245.03/8,290.92
  6. Step 6: Final answer
    x = 7,525.01

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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.