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Finding the Fourth Proportional to 11,061.89, 16,590.22 and 3,164.16

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Solution

The fourth proportional to 11,061.89, 16,590.22 and 3,164.16 is: 4,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,061.89 : 16,590.22 = 3,164.16 : x
  2. Step 2: Convert to fraction form
    11,061.89/16,590.22 = 3,164.16/x
  3. Step 3: Cross multiply
    11,061.89x = 16,590.22 × 3,164.16
  4. Step 4: Simplify right side
    11,061.89x = 52,494,164.82
  5. Step 5: Solve for x
    x = 52,494,164.82/11,061.89
  6. Step 6: Final answer
    x = 4,745.50

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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.