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Finding the Fourth Proportional to 8,231.15, 11,358.93 and 4,454.32

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Solution

The fourth proportional to 8,231.15, 11,358.93 and 4,454.32 is: 6,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.15 : 11,358.93 = 4,454.32 : x
  2. Step 2: Convert to fraction form
    8,231.15/11,358.93 = 4,454.32/x
  3. Step 3: Cross multiply
    8,231.15x = 11,358.93 × 4,454.32
  4. Step 4: Simplify right side
    8,231.15x = 50,596,309.08
  5. Step 5: Solve for x
    x = 50,596,309.08/8,231.15
  6. Step 6: Final answer
    x = 6,146.93

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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.