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Finding the Fourth Proportional to 6,800.29, 10,203.58 and 3,103.65

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Solution

The fourth proportional to 6,800.29, 10,203.58 and 3,103.65 is: 4,656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.29 : 10,203.58 = 3,103.65 : x
  2. Step 2: Convert to fraction form
    6,800.29/10,203.58 = 3,103.65/x
  3. Step 3: Cross multiply
    6,800.29x = 10,203.58 × 3,103.65
  4. Step 4: Simplify right side
    6,800.29x = 31,668,364.92
  5. Step 5: Solve for x
    x = 31,668,364.92/6,800.29
  6. Step 6: Final answer
    x = 4,656.91

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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.