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Finding the Fourth Proportional to 11,228.00, 16,820.42 and 6,282.65

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Solution

The fourth proportional to 11,228.00, 16,820.42 and 6,282.65 is: 9,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228.00 : 16,820.42 = 6,282.65 : x
  2. Step 2: Convert to fraction form
    11,228.00/16,820.42 = 6,282.65/x
  3. Step 3: Cross multiply
    11,228.00x = 16,820.42 × 6,282.65
  4. Step 4: Simplify right side
    11,228.00x = 105,676,822.35
  5. Step 5: Solve for x
    x = 105,676,822.35/11,228.00
  6. Step 6: Final answer
    x = 9,411.91

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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.