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Finding the Fourth Proportional to 11,262.65, 16,870.91 and 6,321.91

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Solution

The fourth proportional to 11,262.65, 16,870.91 and 6,321.91 is: 9,469.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.65 : 16,870.91 = 6,321.91 : x
  2. Step 2: Convert to fraction form
    11,262.65/16,870.91 = 6,321.91/x
  3. Step 3: Cross multiply
    11,262.65x = 16,870.91 × 6,321.91
  4. Step 4: Simplify right side
    11,262.65x = 106,656,374.64
  5. Step 5: Solve for x
    x = 106,656,374.64/11,262.65
  6. Step 6: Final answer
    x = 9,469.92

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Why These Related Problems?

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