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Finding the Fourth Proportional to 6,735.81, 10,103.02 and 2,785.93

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Solution

The fourth proportional to 6,735.81, 10,103.02 and 2,785.93 is: 4,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.81 : 10,103.02 = 2,785.93 : x
  2. Step 2: Convert to fraction form
    6,735.81/10,103.02 = 2,785.93/x
  3. Step 3: Cross multiply
    6,735.81x = 10,103.02 × 2,785.93
  4. Step 4: Simplify right side
    6,735.81x = 28,146,306.51
  5. Step 5: Solve for x
    x = 28,146,306.51/6,735.81
  6. Step 6: Final answer
    x = 4,178.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.