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Finding the Fourth Proportional to 8,385.64, 11,574.84 and 5,732.08

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Solution

The fourth proportional to 8,385.64, 11,574.84 and 5,732.08 is: 7,912.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.64 : 11,574.84 = 5,732.08 : x
  2. Step 2: Convert to fraction form
    8,385.64/11,574.84 = 5,732.08/x
  3. Step 3: Cross multiply
    8,385.64x = 11,574.84 × 5,732.08
  4. Step 4: Simplify right side
    8,385.64x = 66,347,908.87
  5. Step 5: Solve for x
    x = 66,347,908.87/8,385.64
  6. Step 6: Final answer
    x = 7,912.09

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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.