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Finding the Fourth Proportional to 8,311.01, 11,465.75 and 5,794.61

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Solution

The fourth proportional to 8,311.01, 11,465.75 and 5,794.61 is: 7,994.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.01 : 11,465.75 = 5,794.61 : x
  2. Step 2: Convert to fraction form
    8,311.01/11,465.75 = 5,794.61/x
  3. Step 3: Cross multiply
    8,311.01x = 11,465.75 × 5,794.61
  4. Step 4: Simplify right side
    8,311.01x = 66,439,506.77
  5. Step 5: Solve for x
    x = 66,439,506.77/8,311.01
  6. Step 6: Final answer
    x = 7,994.16

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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.