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Finding the Fourth Proportional to 6,760.64, 9,328.09 and 4,107.89

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Solution

The fourth proportional to 6,760.64, 9,328.09 and 4,107.89 is: 5,667.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.64 : 9,328.09 = 4,107.89 : x
  2. Step 2: Convert to fraction form
    6,760.64/9,328.09 = 4,107.89/x
  3. Step 3: Cross multiply
    6,760.64x = 9,328.09 × 4,107.89
  4. Step 4: Simplify right side
    6,760.64x = 38,318,767.63
  5. Step 5: Solve for x
    x = 38,318,767.63/6,760.64
  6. Step 6: Final answer
    x = 5,667.92

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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.