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Finding the Fourth Proportional to 11,014.65, 16,515 and 4,686.44

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Solution

The fourth proportional to 11,014.65, 16,515 and 4,686.44 is: 7,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014.65 : 16,515 = 4,686.44 : x
  2. Step 2: Convert to fraction form
    11,014.65/16,515 = 4,686.44/x
  3. Step 3: Cross multiply
    11,014.65x = 16,515 × 4,686.44
  4. Step 4: Simplify right side
    11,014.65x = 77,396,474.03
  5. Step 5: Solve for x
    x = 77,396,474.03/11,014.65
  6. Step 6: Final answer
    x = 7,026.68

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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.